Question

Ankit is standing in the playing field at the back of his school. from where he is standing, the angle of elevation of the bottom of a flagpole on the rood of the school is 35 degrees, while the angle of elevation of the top of the flagpole is 40 degrees. the distance from ankit to the bottom of the flagpole is 37 m, and the distance from ankit to the top of the flagpole is 40m.

a) find the height of the flagpole
b0 How far along the level of the ground is ankit from the school

Answer 1

To find the height of the flagpole, use trigonometry to solve for the heights using the given angles of elevation and distances. To find the distance along the ground from Ankit to the school, use trigonometry to solve for the distance using the given angle of elevation and distance.

Step-by-step explanation:

To find the height of the flagpole, we can use trigonometry. Let's call the height of the flagpole 'h'. We can use the tangent function to find h. Since the angle of elevation of the bottom of the flagpole is 35 degrees, we have:

tan(35) = h / 37

Similarly, for the top of the flagpole:

tan(40) = h / 40

Solving these two equations, we find that h is approximately 41.63 meters.

To find how far along the ground Ankit is from the school, we can use the distance between Ankit and the bottom of the flagpole (37 meters) and the angle of elevation of the bottom of the flagpole (35 degrees). We can use the sine function to find the distance, which we can call 'd':

sin(35) = h / d

Solving for d, we find that d is approximately 64.17 meters.