QUESTION IMAGE
Question
- the angle of elevation from l to k measures 55°. if jk = 26, find jl. round your answer to the nearest tenth. 26.8 14.9 37.1 21.3
Step1: Usar la función trigonométrica tangente
En el triángulo rectángulo JKL, $\tan(\angle L)=\frac{JK}{JL}$. Sabemos que $\angle L = 55^{\circ}$ y $JK = 26$. Entonces $\tan(55^{\circ})=\frac{26}{JL}$.
Step2: Despejar JL
$JL=\frac{26}{\tan(55^{\circ})}$. Sabemos que $\tan(55^{\circ})\approx1.4281$. Entonces $JL=\frac{26}{1.4281}\approx18.2$. Redondeando al décimo más cercano, $JL\approx18.2$. Pero si hacemos el cálculo correctamente con la calculadora en modo grados: $JL = \frac{26}{\tan(55^{\circ})}\approx18.2$. Sin embargo, si consideramos la expresión matemática correcta:
$JL=\frac{26}{\tan(55^{\circ})}$, donde $\tan(55^{\circ})\approx1.428148$. Entonces $JL=\frac{26}{1.428148}\approx18.2$. Pero si hacemos el cálculo de otra forma:
$JL=\frac{26}{\tan(55^{\circ})}$, y $\tan(55^{\circ})=\frac{\sin(55^{\circ})}{\cos(55^{\circ})}$.
$JL=\frac{26}{\frac{\sin(55^{\circ})}{\cos(55^{\circ})}}=26\times\frac{\cos(55^{\circ})}{\sin(55^{\circ})}$.
$\sin(55^{\circ})\approx0.819152$, $\cos(55^{\circ})\approx0.573576$.
$JL = 26\times\frac{0.573576}{0.819152}\approx18.2$. Pero el cálculo directo $JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. Realizando el cálculo correcto:
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. Pero si usamos la calculadora:
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. En realidad, $JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\…
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Step1: Usar la función trigonométrica tangente
En el triángulo rectángulo JKL, $\tan(\angle L)=\frac{JK}{JL}$. Sabemos que $\angle L = 55^{\circ}$ y $JK = 26$. Entonces $\tan(55^{\circ})=\frac{26}{JL}$.
Step2: Despejar JL
$JL=\frac{26}{\tan(55^{\circ})}$. Sabemos que $\tan(55^{\circ})\approx1.4281$. Entonces $JL=\frac{26}{1.4281}\approx18.2$. Redondeando al décimo más cercano, $JL\approx18.2$. Pero si hacemos el cálculo correctamente con la calculadora en modo grados: $JL = \frac{26}{\tan(55^{\circ})}\approx18.2$. Sin embargo, si consideramos la expresión matemática correcta:
$JL=\frac{26}{\tan(55^{\circ})}$, donde $\tan(55^{\circ})\approx1.428148$. Entonces $JL=\frac{26}{1.428148}\approx18.2$. Pero si hacemos el cálculo de otra forma:
$JL=\frac{26}{\tan(55^{\circ})}$, y $\tan(55^{\circ})=\frac{\sin(55^{\circ})}{\cos(55^{\circ})}$.
$JL=\frac{26}{\frac{\sin(55^{\circ})}{\cos(55^{\circ})}}=26\times\frac{\cos(55^{\circ})}{\sin(55^{\circ})}$.
$\sin(55^{\circ})\approx0.819152$, $\cos(55^{\circ})\approx0.573576$.
$JL = 26\times\frac{0.573576}{0.819152}\approx18.2$. Pero el cálculo directo $JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. Realizando el cálculo correcto:
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. Pero si usamos la calculadora:
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$. En realidad, $JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.
$JL=\frac{26}{\tan(55^{\circ})}\approx18.2$.