Question

What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. X = ° A right triangle. The perpendicular is labeled as 5. The base is labeled as 20. The alternate base angles are labeled as right angle and x degrees

Answer 1

14.04

Explanation:

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Answer 2

14.04°

Explanation:

In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.

The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:

`tan(\alpha) = (a)/(b) = (5)/(20) = 0.25`

To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.