Question

Given AKIP, find mZI. Round your answer to the nearest hundredth of a degree.

Answer 1

Answer:

∠I ≈ 53.13°

Step-by-step explanation:

It can be seen from the figure that IP is perpendicular to KP

=> So that IPK is the right-angled triangle with angel IPK equal to 90°

In a right-angled triangle, there is a formula as following:

+)  sin of an acute angel = length of opposite side/ length of hypotenuse

In triangle IPK, ∠I is an acute angel, its opposite side is KP.

The hypotenuse of triangle IPK is IK

So that, we have:

+) sin ∠I = KP/ IK = 8/10 = 0.8

=> ∠I ≈ 53.13°