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 point something

Explanation:

Answer 2

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)