Question

A child is flying a kite, K. A student at point B, located 100. meters away from point A (directly underneath the kite), measures the angle of elevation of the kite from the ground as 30.°

60. In the space provided above, use a metric ruler and protractor to draw a triangle representing the positions of the kite, K, and point A relative to point B that is given. Label points A and K. Use a scale of 1.0 centimeter = 10. meters.
61. Use a metric ruler and your scale diagram to determine the height, AK, of the kite.
62. A small lead sphere is dropped from the kite. Calculate the amount of time required for the sphere to fall to the ground. [Show all calculations, including the equation and substitution with units. Neglect air resistance.
Please help me I don’t understand the question.

Answer 1

#61

as we know that

`tan\theta = (height)/(base)`

`tan30 = (AK)/(100)`

`AK = 100 tan30`

`AK = 57.7 m`

#62

initial speed of the sphere = 0 as it is dropped

initial height of the ball = AK = 57.7 m

now by calculations

`d = v_i* t + (1)/(2)at^2`

`57.7 = 0 + (1)/(2)*9.8*t^2`

`57.7 = 4.9t^2`

`t = 3.43 s`

so it will take 3.43 s to reach the ground