Question

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.

Answer 1

Set your calculator to degree mode.

The measure of angle Q is

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

Angle Q measures 62.6°.

Answer 2

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°