Question

What is the approximate measure of angle T in the triangle below?

Answer 1

A) 79°

Explanation:

got it right on edge :)

Answer 2

`T=79\degree`

Explanation:

Recall and use the cosine rule to find the approximate value of angle T.

`|SU|^2=|ST|^2+|TU|^2-2(|ST|)(|TU|)\cos T`

We plug in the values of the side lengths to obtain;

`4.3^2=3.9^2+2.7^2-2(3.9)(2.7)\cos T`

`18.49=15.21+7.29-21.06\cos T`

`18.49=22.5-21.06\cos T`

`18.49-22.5=-21.06\cos T`

`-4.01=-21.06\cos T`

`4.01=21.06\cos T`

`(4.01)/(21.06)=\cos T`

`0.1904=\cos T`

`T=\cos^(-1)(0.1904)`

`T=79.02`

Angle T is approximately 79 degrees.