9514 1404 393
Answer:
70.9°
Explanation:
The relationships between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. In this triangle, you have the side Adjacent to the angle (48), and the side Opposite to the angle (139). The mnemonic reminds you that an appropriate trig function for the angle is ...
Tan = Opposite/Adjacent
tan(?) = 139/48
Then the angle can be found using the inverse tangent function:
? = arctan(139/48) ≈ 70.9°
The angle measure is about 70.9°.
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