3 years ago

What is the slope? I will give brainliest

Mathematics

1 answer:

IgorC [24]3 years ago

6 0

Answer:

The rise over run is -1/2

Step-by-step explanation:

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3 years ago

A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same

lilavasa [31]

The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = $\frac{y}{x}$

tan (36) = $\frac{y}{36+x}$

So,

tan(36) (36 + x) = y

tan(71) = $\frac{tan (36) (36 + x )}{x}$

$2.9 = \frac{0.73 (36 + x)}{x} \\\\2.9 x = 26.28 + 0.73x\\\\2.17x = 26.28\\\\x = 12.11 ft$

Substituting x = 12.11 ft in equation 1:

$tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft$

Length of the wire, z = $\sqrt{x^2 + y^2}$

So,

$z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft$

Therefore, the length of the wire is 37.15 ft

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