High School

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What is the approximate degree measure of angle A in the triangle below?

Right triangle ABC is shown. Side AC has a length of 18, and side BC has a length of 14. The length of the hypotenuse AB is not known.

A. 37.9
B. 38.9
C. 51.1
D. 52.1

Answer :

Answer:

Option A is the correct answer

Step-by-step explanation:

Firstly, please check attachment for diagram of triangle.

To calculate the value of the angle A, we employ the use of trigonometric identities.

What we have in the question are the two other sides, other than the hypotenuse. These are the opposite and the adjacent.

The opposite is the side facing the angle while the adjacent is the other third side.

The trigonometric identity we have to use here is the tan, since

Tangent of an angle = length of opposite/length of adjacent

The length of the opposite here is 14 while the length of the adjacent is 18

Thus,

Tan A = 14/18

Tan A = 0.7778

A = arc Tan (0.7778)

A = 37.87 which is 37.9 degrees

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Rewritten by : Barada

Answer:

37.9

Step-by-step explanation:

Got it correct on the quiz