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SVETLANKA909090 [29]
3 years ago
7

A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5° with the wall of the house. how tall is th

e house? round your answer to the nearest 0.1 foot.
Mathematics
2 answers:
Fynjy0 [20]3 years ago
7 0

Answer:

<h2>The wall is approximately 10.75 feet tall.</h2>

Step-by-step explanation:

This problem is about a right triangle formed by the ladder and the house. The given triangle is formed with the wall, that is, is the space between the wall and the ladder. The twenty-five foot refers to the hypothenuse of the right triangle formed, and the wall is the vertical leg.

Therefore, we have to use trigonometric reasons to answer the questions, because we know an angle and the hypothenuses of the triangle. The relations we must use is:

cos(\alpha )=\frac{x}{h}

Replacing given values, we have:

cos(41.5)=\frac{x}{25}

x=25cos(41.5)=25(0.75) \approx 18.75 \ ft

Therefore, the wall is approximately 10.75 feet tall.

devlian [24]3 years ago
3 0
So to find this we must use cos(41.5 degrees) so the equation is cos(41.5)=x/25 we times both sides by 25. We also find out what cos 41.5 is in this step. so 0.75x25 = x. Therefore x=18.8. the house is 18.8 feet tall

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2 years ago
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zheka24 [161]

Answer:

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Step-by-step explanation:

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If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

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For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

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