Question

Ko Tapu is a vertical limestone rock located off the coast of

Thailand. Peter sets up a camera in a boat to shoot some
footage of the top of Ko Tapu. The horizontal distance from
the camera to a point at the base of the rock is 135 feet, and
the vertical distance from the point at the base of the rock to
a point at the top of the rock is 66 feet, as shown in the
figure.
135 ft
What is the measure of the angle of elevation, to the nearest
degree, that Peter should set the camera so he can video the
top of the rock?

Answer 1

Answer: The angle of elevation that Peter should set the camera to is 35.3°, rounded to the nearest degree (35°).

Step-by-step explanation: To find the angle of elevation, we can use the tangent function. Let's call the angle of elevation "x". Then:

tan(x) = 66/135

We can find the value of x using the inverse tangent (arctan) function:

x = arctan(66/135)

Finally, we can convert the result from radians to degrees:

x = arctan(66/135) * 180/π

x = 35.3° (rounded to nearest degree)