188k views
1 vote
In ΔPQR, the measure of ∠R=90°, RQ = 16, PR = 63, and QP = 65. What ratio represents the cosine of ∠Q?

User Lnetanel
by
6.3k points

1 Answer

0 votes

Answer:

Cos Q = 16/65

Explanation:

In this question, we have a triangle and we have the information above supplied. We are being tasked with getting the ratio of the cosine.

To do this, we shall be making reference to a diagrammatic representation of the information supplied. Please do check the attachment section for this.

Looking at this triangle, we can see that one of the angles measure 90, what this means is that what we are dealing with is a right-angled triangle.

Now to get the answer in the question, we have to define what is meant by the cosine. The cosine is a trigonometric ratio of the adjacent to the hypotenuse.

In this case, our adjacent is 16 while our hypotenuse is the longest side which is 65.

Hence, Cos Q = 16/65

In ΔPQR, the measure of ∠R=90°, RQ = 16, PR = 63, and QP = 65. What ratio represents-example-1
User Patriciasz
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.