Question

what is the approximate degree measure of angle b in the triangle? what is the approximate degree measure of angle b in the triangle? 16.3 43.8 73.7 46.2

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle ABC with right - angle at A, we know the adjacent side to angle B ($AB$) and the hypotenuse ($BC$). We use the cosine function. $\cos B=\frac{AB}{BC}$.

Step2: Calculate the cosine value

Given $AB = 24$ and $BC = 25$, then $\cos B=\frac{24}{25}=0.96$.

Step3: Find the angle measure

We know that if $\cos B = 0.96$, then $B=\cos^{- 1}(0.96)$. Using a calculator, $B\approx16.3^{\circ}$.

Answer:

16.3