Question

Please help me with this:(

Answer 1

Y = 32.7°

Explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY =
`(7575)/(9000)`

= 0.84167

Y =
`\text{cos}^(-1)(0.84167)`

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°