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A stepladder has an angle of elevation of 60° with the front of the house. The length of the stepladder is 24 feet. At what height does the stepladder meet the house?

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fichoh

Answer:

20.78 feets

Step-by-step explanation:

Based on the solution diagram attached below :

The height at which the step ladder meets the house can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin θ = h / 24

Sin 60 = h / 24

0.8660254 = h/24

Height, h = 0.8660254 * 24

Height, h = 20.78 feets

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