Question

A flagpole is mounted on the top of a hill. 50m from the base of the hill the angle of elevation of the top of the flagpole is 62 degree and the angle of elevation of the top of the hill is 57 degree

Answer 1

To solve this problem, we can use trigonometry to find the distance from the top of the flagpole to the top of the hill.

Step-by-step explanation:

To solve this problem, we can use trigonometry. Let's call the distance from the top of the hill to the flagpole as x. From the given information, we can form a right triangle where the base is 50m (distance from the base of the hill to the observer) and the angle of elevation of the top of the hill is 57 degrees.

Using the tangent function, we can write the equation:

tan(57) = x/50

Solving for x, we have:

x = 50 * tan(57)

Using a calculator, we find that x is approximately 84.51m. Therefore, the top of the flagpole is approximately 84.51m from the top of the hill.