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Nadya [2.5K]
3 years ago
9

A window-washer is climbing a 37-foot ladder leaning against a building. The ladder touches the building 35 feet above the groun

d. What is the distance from the bottom of the ladder to the base of the building?
Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer: the distance from the bottom of the ladder to the base of the building is 12 feet.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance from the ground to the point where the ladder touches the wall of the building represents the opposite side

Therefore, to determine the distance from the bottom of the ladder to the base of the building, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

37² = 35² + x²

1369 = x² + 1225

x² = 1369 - 1225 = 144

x = √144 = 12 feet

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What’s the answer to 6x + 3y =
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Answer:

The last answer; 12.

Step-by-step explanation:

In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:

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3 years ago
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vlabodo [156]

Answer:

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Step-by-step explanation:

Given data

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principal

solution

we know the simple interest formula  i.e.

interest = ( principal × rate  × time ) /100             ..................1

now put all value rate time and interest in equation 1 we get interest here

interest = ( principal × rate  × time ) /100  

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A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,
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Answer:

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Step-by-step explanation:

To find the angle, we will use cosine rule;

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C in this case is θ

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Answer:y74

Step-by-step explanation:

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