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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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Sonja [21]

Answer:

Step-by-step explanation:

Earth volume is approximately V = (4/3)πr³, and

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Comparing these two results, we see that the volume of Uranus is approximately 64 times greater than the volyume of Earth.

5 0
3 years ago
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A triangle has vertices A(0, 0), B, (–3, 6), and C(0, 9). What are the coordinates of the triangle after a dilation with a scale
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Step-by-step explanation:

4 0
2 years ago
The length of a rectangle is 71/2 inches and the width is 23/4 inches. What is the ratio, using whole numbers, of the length to
Over [174]

Answer:

142:23

Step-by-step explanation:

The length of the rectangle is given as 71/2 while its width is 23/4

We are required to determine the ratio of the length to the width;

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(71/2):(23/4)

(71/2)/(23/4)

71/2 * 4/23 = 142/23

The ratio of the length to the width is thus;

142:23

6 0
3 years ago
The polygons in each pair are similar. find the missing side length​
balandron [24]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

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Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

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In this case we have

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Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
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