Question

Solve for an angle in right triangles. Round to the nearest hundredths

Answer 1

∠A = 38.68°

Explanation:

The side opposing ∠A and the hypotenuse are given.

Therefore, take the inverse sin function of ∠A.

• sin∠A = 5/8
• ∠A = sin⁻¹ (0.625)
• ∠A = 38.6821875
• ∠A = 38.68° (nearest hundredth)

Answer 2

Use SOH CAH TOA to rember how the trig function fit on the triangle

Explanation:

we are given the Hypotenuse and the Opposite or H and O look for the trig function with each of those, SOH is good

Sin Ф = Opp / Hyp, or SOH

now plug in what you are given

Sin Ф = 5 / 8

use inverse trig fuction to find the angle

arcSin ( Sin Ф) = arcSin ( 5/8)

trig functions cancel out

Ф = arcSin(5/8)

I'm using my calculator to find the arcSin(5/8)

Ф=38.6821...°

also make sure you know if your calculator is in degrees or radians.

Ф=38.68° to the nearest hundredth :)