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Find the measure of the indicated angle to the nearest degree

Find the measure of the indicated angle to the nearest degree-example-1
User Thecoshman
by
8.5k points

1 Answer

3 votes

Answer:

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°

User Richard Purdie
by
8.3k points

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