Raymond was riding a zip-cable from the top of a viewing post. the cable is 50 yards long. the viewing post is 40 yards high and forms a right angle with the ground, as shown in the picture below. note: figure is not drawn to scale. given this information, how far is the bottom of the cable from the base of the viewing post?

30 yd

Step-by-step explanation:

The diagram is probably something like the one below.

Raymond is at point A, at the top of the viewing post.

The zip-cable runs along line AC, and line BC represents the distance from the bottom of the viewing post to the bottom of the cable.

∆ABC is a right triangle, so we can apply Pythagoras’ Theorem.

  x² + 40² = 50²

x² + 1600 = 2500     Subtract 1600 from each side

           x² = 900        Take the square root of each side

            x = 30 yd

The bottom of the cable is 30 yd from the bottom of the viewing post.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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