Hassan is looking up at a flagpole that is 60 feet away from him (distance along the ground) at an angle of elevation from ground level of 40° .
What is the flagpole's height, x , and the distance between Hassan and the top of the flagpole, y ?
To find the height of the flagpole, we can use trigonometry. Let x be the height of the flagpole and y be the distance between Hassan and the top of the flagpole.
Using the tangent function:
tan(40°) = x/60
x = 60 * tan(40°)
x ≈ 46.77 feet
To find the distance between Hassan and the top of the flagpole (y), we can use the sine function:
sin(40°) = x/y
y = x / sin(40°)
y ≈ 46.77 / sin(40°)
y ≈ 70.45 feet
Therefore, the flagpole's height is approximately 46.77 feet and the distance between Hassan and the top of the flagpole is approximately 70.45 feet.