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11 votes
11 votes
Find a in degrees.
3
V58
7
?

Find a in degrees. 3 V58 7 ?-example-1
User Tknickman
by
2.7k points

1 Answer

18 votes
18 votes

Answer:

23.20°

Explanation:

All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.

Trig relation

The tangent of the angle is the ratio of opposite and adjacent sides:

Tan = Opposite/Adjacent

Here, that means ...

tan(α) = 3/7

To find the value of α, we need to use the inverse tangent function, also called the arctangent function.

α = arctan(3/7) ≈ 23.19859°

α≈ 23.20°

User Volzo
by
2.6k points