Question

Find θ in the triangle. Round to the nearest degree.

Answer 1

Answer: b.  59º

Step-by-step explanation:

In the picture we have given a right triangle .

Hypotenuse= 82 ft.

The side adjacent to $\theta$ = 42 ft.

Trigonometry says that ,

$\cos\theta=\frac{\text{side adjacent to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\ \cos \theta=\frac{42}{82}\\\Rightarrow\ \cos\theta=0.5121\\\Rightarrow\ \theta=cos^{-1}(0.5121)\\\Rightarrow\ \theta=59.196188\approx59^{\circ}$

Hence, $\theta=59^{\circ}$

Answer 2

I qould say the answer is b. 59.