Question

A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 50 meters above the ground. The angle formed between the wire and the ground is 42° (see figure). (Round your answers to one decimal place.)
(a) How long is the guy wire (in meters)?
(b)How far from the base of the tower (in meters) is the guy wire anchored to the ground?

Answer 1

The length of the guy wire is; 74.72 meters and the distance of its anchor point to the base of the tower is; 55.53 meters.

What is the length of the guy wire?

a). The length of the guy wire in discuss as described in the task content can be determined by means of trigonometric ratios as follows;

Sin 42° = 50/x

x = 50/sin 42°

x = 74.72 meters.

b). The distance between the base of the tower and the anchor point of the guy wire can be determined as follows;

Tan 42° = 50/y

y = 50/tan 42°

y = 55.53 meters.

Read more on trigonometric ratios;

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