In abc, c is a right angle, what is the measure of x?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 287 People

In ABC, C is a right angle, what is the measure of x?
A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°

Answered by maham237 @ 25/12/2020

Answer:

Option B. 67.6°

Step-by-step explanation:

In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.

We have to find the measurement of angle A.

Now from cosine rule we can write

$CosA = \frac{Base}{hypotenuse}$

Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.

Now we put the values

Cos x = 8/21 = 0.3809

$x=cos^{-1}0.3809$

Or x = 67.61°

Therefore measurement of angle A or x = 67.6° is the answer.

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