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A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Respuesta :

Answer:

there is 16.08 foot high does the ladder reach on the building

Step-by-step explanation:

The computation of the high does the ladder reach on the building is shown below:

Given that

length of the ladder = 17 ft

angle -between the ground and the ladder = 75 degrees

Based on the above information

Here we used the trig-ratio to calculate the same

[tex]Sin \theta = \frac{oppo}{hyp} \\\\Sin 71^{\circ} = \frac{h}{17}[/tex]

0.946 × 17 = h

The height is 16.08 foot

Hence, there is 16.08 foot high does the ladder reach on the building

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