Question

Find the measure of the indicated angle to the nearest degree

Answer 1

Answer:

6). Option A

7). Option C

8). Y = 62°

Step-by-step explanation:

6). Let the missing angle = x°

    By applying cosine rule to find the missing angle,

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

                = $\frac{35}{37}$

    x = $\text{cos}^{-1}(\frac{35}{37})$

    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°) = $\frac{37}{38}$

   x = $\text{cos}^{-1}(\frac{37}{38})$

   x = 13.17

   x = 13°

   Therefore, Option C is the answer.          

8). tanY = 1.8807

    Y = $\text{tan}^{-1}(1.8807)$

    Y = 62°