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Find the measure of the missing angle to the nearest degree

Find the measure of the missing angle to the nearest degree-example-1
User Mcgtrt
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1 Answer

4 votes

Answer:

22°

Explanation:

The mnemonic SOH CAH TOA reminds you ...

Tan = Opposite/Adjacent

The side opposite the marked angle is 10; the side adjacent is 25, so we have ...

tan(?) = 10/25 = 0.4

? = arctan(0.4) ≈ 21.801° ≈ 22° . . . . . . using the inverse tangent function

The measure of the indicated angle is about 22°.

User Milad Rashidi
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6.7k points