Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
