Answered

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Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with
the ground. How high up the wall does the ladder reach? Round your answer
to the nearest tenth of a foot if necessary.

Sagot :

Check the picture below.

View image jdoe0001

The ladder reaches 17.2-foot high up the wall.

Given that,

Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.

We have to find,

How high up the wall does the ladder reach?

According to the question,

Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.

Let, the height of the wall does the ladder reach is y,

Then,

[tex]\rm Sin\theta = \dfrac{Opposite \ side}{Hypotenuse}[/tex]

Here, Angle = 17 degree, opposite side = y, and perpendicular = 18

Therefore,

[tex]\rm Sin73 = \dfrac{y}{18}\\\\0.95 = \dfrac{y}{18}\\\\y = 18 \times 0.95\\\\y = 17.2 \ foot[/tex]

Hence, The ladder reaches 17.2-foot high up the wall.

For more details refer to the link.

https://brainly.com/question/2016644

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