Question 931503
let x = the distance between the manhole and the foot of the building.

let y = the distance from the foot of the building to the top of king kong'
s head.

let 62 = the distance from the foot of the building to the top of the building which is the same height as the bottom of king kong's feet.


tan (53.1) = 62 divided by x.


solve for x to get x = 62 / tan(53.1) which is equal to 46.55 feet.


tan(55) = y divided by x = y / 46.55.


solve for y to get y = tan(55) * 46.55 = 66.48 feet.


the distance between king kong's head and his feet is equal to 66.48 - 62 which is equal to 4.48 feet.


he must not have been standing straight up.


assuming the value of x is accurate, then tan(53.1) = y1/46.55 which makes y1 = 61.999 which is very close to 62, and tan(55) = y2/46.55 which makes y2 = 66.48 which is very close to 66.48.


the measurements look good.
the value of x is the distance between the manhole and the foot of the building and that remains the same.
the value of y1 is the vertical distance from the foot of the building to the bottom of king kong's feet.
the value of y2 is the vertical distance from the foot of the building to the top of king kong's head.
the vertical distance between king kong's head and king kong's feet is equal to y2 - y1 which is equal to 66.48 - 62 = 4.48 feet.