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?

Question

asked May 1, 2020 166k views

2 Answers

Sidhom · Answer 1 · 2020-05-08T06:14:56+0000

Answer:

55.19 degrees

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

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

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

Therefore,
$\sin x = (7.8)/(9.5) = 0.821$

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