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abruzzese [7]
3 years ago
14

A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable c

ar is to be installed running to the top of the mountain from a point 840 ft out in the plain from the base of the mountain. Find the shortest length of cable needed. Round your answer to the nearest foot.
Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

3854ft

Step-by-step explanation:

By assuming that the cable is not doubled.

in order to find the length of the base of the mountain

tan74°=3400/x

x= 3400/tan74°

x≈ 975ft

Therefore, the length of the cable equals to

            =\sqrt{3400^2+(975 + 840)^2}

length≈ 3854ft

Thus, the shortest length of cable needed is 3854ft

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<h3>How to compute the value?</h3>

It should be noted that the puzzle simply involves algebraic thinking. The goal is to find numbers that can be added together that will give 42.

From the information, it should be noted that 7 and 8 have been given. Therefore, this will be:

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Answer:

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Answer:

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By taking the quotient between the total length and the length needed for each step, we conclude that Luna can make 9 steps.

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