Question

A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visual depicts the arrangement. Solve for the length of rope supporting the tent as well as the distance between the stake and the tent, if the tent is 40 feet tall Round to the nearest hundredth.

Answer 1

The value of x is 34.64 feet

Right-angled triangle

Find the diagram attached

• The height of the tent = 40 ft
• length of the rope = x

Get the value of x using the SOH CAH TOA identity

$sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet$

Hence the value of x is 34.64 feet

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