Question

What is the value of y?

Answer 1

y = 33.69°

tan= opposite /adjacent

tan y° = 32 / 48

tan y° = 2/3

tan y° = 0.67

y° = tan^-1 (0.67)

y° = 33.69°

Answer 2

y ≈ 34

Explanation:

using the tangent ratio in the right triangle

tan y =
`(opposite)/(adjacent)` =
`(32)/(48)` =
`(2)/(3)` , then

y =
`tan^(-1)` (
`(2)/(3)` ) ≈ 34 ( to the nearest whole number )