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masha68 [24]
3 years ago
13

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

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°

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