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quester [9]
3 years ago
9

An h = 135-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to

the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed. (Round your answer to the nearest foot.)
Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

Answer:

171 foot

Step-by-step explanation:

We are given that

Height of tower=135 ft

AC=55 ft

Let x be the length of shortest length of wire.

The angle of inclination of mountain with horizontal =32^{\circ}

The angle between sides AB and BC=90+32=122^{\circ}

Exterior angle is equal to sum interior angles of a triangle on the opposite sides .

We have to find the value of x.

We know that law of cosine

c=\sqrt{a^2+b^2-2ab cos\theta}

Substitute the values in the given formula we get

x=\sqrt{(135)^2+(55)^2-2(135)(55)cos 122}

x=170.64 ft

Hence, the length of wire needed=171 foot

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<h3>Define the term permutation?</h3>
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For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

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