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The triangle above has the following measures.

s = 29 m
r = 63 m

Find the m∠Q.
Round to the nearest tenth and include correct units.

Show all your work.

The triangle above has the following measures. s = 29 m r = 63 m Find the m∠Q. Round-example-1

2 Answers

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Answer:

Set your calculator to degree mode.

The measure of angle Q is


{cos}^( - 1) (29)/(63) = 62.6 \: degrees

Angle Q measures 62.6°.

User NRA
by
7.4k points
4 votes

Answer: 62.6°

Explanation:

We will use trigonometric functions to find the m∠Q (measure of angle Q).

From ∠Q, we are given the adjacent side and the hypotenuse. For this, we will use the cosine function.

Given:

cosθ =
(adjcent)/(hypotenuse)

Substitute known values:

cos(m∠Q) =
(29)/(63)

Take the inverse of cosine of both sides of the equation:

m∠Q = 62.5924

Round to the nearest tenth and include units:

m∠Q = 62.6°

User Hendrikswan
by
8.4k points

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