Question

An artist makes a structure in the shape of this given triangle.

What is the measure of angle θ ?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

Answer:Just confirming 73.2

Explanation:

I just took the test

Answer 2

ANSWER


`\theta =73.2 \degree`


EXPLANATION

We use the sine rule to obtain,


`( \sin( \theta) )/(4) = ( \sin(50 \degree) )/(3.2)`

We multiply both sides by 4 to obtain,



`\sin( \theta) = ( \sin(50 \degree) )/(3.2) * 4`
We take the inverse sine of both sides to get,



`\theta = \sin ^( - 1) (0.9576)`

`\theta =73.2`
to the nearest tenth.