Question

In ΔSTU, the measure of ∠U=90°, TU = 28 feet, and ST = 39 feet. Find the measure of ∠T to the nearest tenth of a degree?

Answer 1

∠T≈44.1

Explanation:

Please see the attached image.

Relative to ∠T, we know the adjacent side and the hypotenuse, 28 and 39 respectively.

We can use a trig function to solve for ∠T. When given the adjacent side and hypotenuse, we can use cosine.

The cosine of an angle is the adjacent side to that angle over the hypotenuse.

cos(T)=28/39

T=
`cos^-1`(28/39)

T≈44.1