A helicopter is hovering above a road at an altitude of 24 m. At a

certain time, the distance between the helicopter and a car on the
road is 45.0 m. Calculate the angle of elevation of the helicopter
from the car. (32.2o
)

sin A = 24/45

A = sin^-1 (24/45)
A = 32.2 degrees

To calculate the angle of elevation of the helicopter from the car, we can use the tangent function.

Tangent = Opposite / Adjacent

In this case, the opposite side is the altitude of the helicopter (24 m), and the adjacent side is the distance between the helicopter and the car (45 m).

Tangent Theta = 24 / 45

To find the angle Theta, we can take the inverse tangent (arctan or tan^-1) of the value we calculated.

Theta = tan^-1 (24 / 45)
Theta ≈ 32.2 degrees

Therefore, the angle of elevation of the helicopter from the car is approximately 32.2 degrees.

To calculate the angle of elevation of the helicopter from the car, we can use trigonometry.

Let's denote the angle of elevation as θ and the distance between the helicopter and the car as d.

In this scenario, we have a right triangle formed by the helicopter, the car, and the line connecting them. The side opposite the angle θ is the altitude of the helicopter, which is 24 m, and the side adjacent to the angle θ is the distance between the helicopter and the car, which is 45.0 m.

Using the tangent function, we can set up the following equation:

tan(θ) = opposite side / adjacent side

tan(θ) = 24 m / 45.0 m

To solve for θ, we need to take the inverse tangent (also known as arctan or tan^-1) of both sides of the equation:

θ = tan^-1(24 m / 45.0 m)

Using a calculator, we can evaluate this expression to find θ ≈ 32.2°.

Therefore, the angle of elevation of the helicopter from the car is approximately 32.2°.