Question

Can someone please help me????? Please I'm not good with Geometry

In order to safely clear a hurdle, a track runner must jump the hurdles with an angle of 30°. Find the height of the hurdle and the horizontal distance traveled if the runner covers a distance of 5 feet

Answer 1

The hurdle and runner form a right triangle (see attached picture) such that

sin(30°) = h / (5 ft)

and

cos(30°) = x / (5 ft)

where h is the height of the hurdle and x is the horizontal distance from where the runner jumps to the hurdle. So

h = (5 ft) sin(30°) = 5/2 ft = 2.5 ft

x = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft