A ramp is being built and attached to a building to help with deliveries. The angle that the bottom of the ramp makes with the g

Question

Tanya [424]

2 years ago

13

A ramp is being built and attached to a building to help with deliveries. The angle that the bottom of the ramp makes with the g

round is 37.2°. Find the measure of the other acute angle.

Mathematics

1 answer:

Kruka [31] · Answer 1 · 2022-03-07T06:10:31+03:00

Answer: The measure of the other acute angle is 52.8°

Step-by-step explanation:

Hi, since the situation described forms a right triangle ( see attachment) , we know that the three interior angles of a right triangle add up to 180 degrees.

The value of one angle is given = 37.2°.

Since is a right angle it has also a right angle of 90°.

So we can write an equation:

x + 37.2 + 90 = 180

Where x is the measure of the other acute angle.

Solving for x:

x = 180-90-37.2

x = 52.8°