Problema Solution
The foot of a loading ramp 9 feet long is placed 7 feet from the base of the platform. The top of the ramp rests on the platform. How high is the platform?
Answer provided by our tutors
make a good drawing.
we need to find the one of the legs 'b' of a right triangle with one leg equal to a = 7 ft and hypotenuse c = 9 ft
using the Pythagorean Theorem we have
b^2 = c^2 - a^2
b^2 = 9^2 - 7^2
b^2 = 81 - 49
b^2 = 32
b = 5.66 ft
the platform is 5.66 ft high.