Question

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

Answer 1

78

Explanation:

Answer 2

78°

Explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

Cos = Adjacent/Hypotenuse

cos(F) = FG/FE = 1.5/7.5 = 0.2

The inverse cosine function is used to find the angle:

∠F = arccos(0.2)

∠F ≈ 78°