A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

1 answer:

4 0

Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.
Sin 45 = x/100
100sin45 = x
100 * ✓(2)/2 = x
50 ✓2 =x
x = 50✓2 ft

You might be interested in

Evaluate expression 8z+3;z=8

Oxana [17]

The answer would be 67

7 0

3 years ago

Read 2 more answers

A. Use substitution and show work

Alja [10]

A) 2x -3(3x -7) = 7 . . . . substitute for y
.. -7x = -14 . . . . . . . . . . . subtract 21
.. x = 2 . . . . . . . . . . . . . divide by -7
.. y = 3*2 -7 = -1 . . . . . . substitute for x
(x, y) = (2, -1)

B) 5(5x -2y) -2(3x -5y) = 5(8) -2(1) . . . . subtract 2 times 2nd equation from 5 times 1st
.. 19x = 38 . . . . simplify
.. x = 2 . . . . . . . divide by 19
.. y = (5x -8)/2 = 1 . . . . solve 1st equation for y, substitute x
(x, y) = (2, 1)

C) See the first graph.
(x, y) = (-4, 1)

D) See the second graph.
(x, y) = (3, 2)