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Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the

cliff. Jon is 40 + 2 feet away from the bottom of the cliff. The cliff is 200 feet tall.
Solve for x.
How far is Jon from the top of the cliff

User Robotronx
by
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1 Answer

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Complete question is;

Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the cliff. Jon is 40 + 2x feet away from the bottom of the cliff. The cliff is 200 feet tall.

Solve for x.

How far is Jon from the top of the cliff

Answer:

x = 30 ft

Jon is 100 ft from the top of the cliff

Explanation:

We are told that Jon is at the mid point of the Cliff.

Since The cliff is 200 feet tall, the Jon is; 200/2 ft = 100 ft from either the top or bottom.

Now, we are told that Jon is 40 + 2x from the bottom of the cliff.

Thus;

40 + 2x = 100

Subtract 40 from both sides;

40 - 40 + 2x = 100 - 40

2x = 60

x = 60/2

x = 30 ft

And Jon is 100 ft from the top of the cliff as earlier seen

User Augsteyer
by
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