Question

note: triangle may not be drawn to scale. suppose c = 15 and a = 35 degrees. find: a = b = b = degrees give all answers to at least one decimal place. give angles in degrees question help: video post to forum submit question

Explanation:

Step1: Find angle B

In a right - triangle, the sum of the interior angles is 180 degrees. Since one angle is 90 degrees and angle A = 35 degrees, we use the formula $B=180 - 90 - A$.
$B = 180-90 - 35=55$ degrees

Step2: Find side a

We use the sine function. $\sin(A)=\frac{a}{c}$. Given $c = 15$ and $A = 35$ degrees, we can solve for $a$: $a=c\times\sin(A)$.
$a = 15\times\sin(35^{\circ})\approx15\times0.574\approx8.6$

Step3: Find side b

We use the cosine function. $\cos(A)=\frac{b}{c}$. Given $c = 15$ and $A = 35$ degrees, we can solve for $b$: $b=c\times\cos(A)$.
$b = 15\times\cos(35^{\circ})\approx15\times0.819\approx12.3$

Answer:

$a\approx8.6$
$b\approx12.3$
$B = 55$ degrees