Question

Laura drew the triangle shown below. Side A is 7.8 cm in length. Side C is 9.5 cm in length. What is the measure of angle x, in degrees?

Answer 1

Answer:

55.19 degrees

Step-by-step explanation:

See the given diagram of the triangle attached to this question.

This is a right triangle and one of its angles other than 90° is x degrees.

Now, if we assume c is the hypotenuse and a is the perpendicular, then we can write that  

$\sin x = \frac{\textrm{Perpendicular}}{\textrm {Hypotenuse}} = \frac{a}{c}$

Now, it is given that a = 7.8 cm and c = 9.5 cm.

Therefore, $\sin x = \frac{7.8}{9.5} = 0.821$

⇒ $x = \sin^{-1} (0.821) = 55.19$ degrees. (Answer)