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

a..
45º
b.
59º
c.
60º
d.
42º

Find θ in the triangle. Round to the nearest degree. a.. 45º b. 59º c. 60º d. 42º-example-1
User Mithrandi
by
8.3k points

2 Answers

5 votes
i qould say the answer is b. 59.
User DanGar
by
7.1k points
6 votes

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)

User Ruediger Jungbeck
by
8.2k points

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