Question

In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answer 1

66.1

Explanation:

Answer 2

`27.6^\circ`

Explanation:

Given:

A
`\triangle RST` with
`\angle T =90 ^\circ`

ST = 44 feet

TR = 84 feet

To find:

`\angle R = ?`

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the
`\angle R`.

We know that formula for tangent of angle
`\theta` is given as:

`tan \theta = \frac{\text{Perpendicular}}{\text{Base}}`

Here, Perpendicular for
`\angle R` is side ST and

Base is side TR.

Putting the values in above tangent formula:

`tan R = (ST)/(TR)\\\Rightarrow tan R = (44)/(84)\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ`

Hence,
`\angle R = 27.6^\circ` is the answer.