Question

PGR is a right-angled triangle.

Work out the size of angle PGR. Give your answer correct to 1 decimal place.

Answer 1

PQR = 67.4 degrees

Explanation:

Here, we want to find the size of PQR

to do this, we proceed as follows

As we can see PR is the opposite while PQ is the hypotenuse

The trigonometric identity connecting the two is the sine

sine is the ratio of the opposite to the hypotenuse

sin Q = 12/13

Q = sin^-1(12/13)

Q = 67.4 degrees