Question

Find the measure of the indicated angle to the nearest degree

Answer 1

6). Option A

7). Option C

8). Y = 62°

Explanation:

6). Let the missing angle = x°

By applying cosine rule to find the missing angle,

cos(x°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

=
`(35)/(37)`

x =
`\text{cos}^(-1)((35)/(37))`

x = 18.92°

x ≈ 19°

Option A is the answer.

7). Let the missing angle = x°

By applying cosine rule in the given triangle,

cos(x°) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

cos(x°) =
`(37)/(38)`

x =
`\text{cos}^(-1)((37)/(38))`

x = 13.17

x = 13°

Therefore, Option C is the answer.

8). tanY = 1.8807

Y =
`\text{tan}^(-1)(1.8807)`

Y = 62°