Question

Find the measure of the indicated angle to the nearest degree.

Answer 1

70⁰

Explanation:

We need to use the knowledge of trigonometry to find the indicated angle. Given the information in relation to the angle we have the opposite and the hypotenuse.

we therefore use Sine in this calculations

Sin ? = opposite/ hypotenuse

= 16/17

= 0.9412

to get the angle we get the sine inverse

Sine inverse of 0.9412 = 70.25⁰

= 70⁰

Answer 2

? ≈ 70°

Explanation:

using the sine ratio in the right triangle

sin ? =
`(opposite)/(hypotenuse)` =
`(16)/(17)` , then

? =
`sin^(-1)` (
`(16)/(17)` ) ≈ 70° ( to the nearest degree )