Question

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

Answer 1

Answer:

$T=79\degree$

Step-by-step 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;

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

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

$18.49=22.5-21.06\cos T$

$18.49-22.5=-21.06\cos T$

$-4.01=-21.06\cos T$

$4.01=21.06\cos T$

$\frac{4.01}{21.06}=\cos T$

$0.1904=\cos T$

$T=\cos^{-1}(0.1904)$

$T=79.02$

Angle T is approximately 79 degrees.

Answer 2

Answer:

A) 79°

Step-by-step explanation:

got it right on edge :)