Question

The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees

Answer 1

7.071inches

Explanation:

The set up is a right angled triangle

Given 'angle of elevation = 45 degrees

The length of the frame = 10in (hypotenuse)

Required

Height of the truck h (opposite)

Using the SOH trig identity

sin theta = opposite/hyp

sin 45 = h/10

h = 10sin45

h = 10(0.7071)

h = 7.071 in

Hence the height of the truck is 7.071inches