Question

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

a..
45º
b.
59º
c.
60º
d.
42º

Answer 1

i qould say the answer is b. 59.

Answer 2

Answer: b. 59º

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=(42)/(82)\\\Rightarrow\ \cos\theta=0.5121\\\Rightarrow\ \theta=cos^(-1)(0.5121)\\\Rightarrow\ \theta=59.196188\approx59^(\circ)`

Hence,
`\theta=59^(\circ)`