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adelina 88 [10]
2 years ago
15

A ladder is leaning against a building and makes a 28 degree angle with the ground. the top of the ladder reaches up the buildin

g. what is the length of the latter
Mathematics
1 answer:
Digiron [165]2 years ago
3 0

The length of the ladder is 75ft.

<h3>What is hypotenuse?</h3>

The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.

<h3>According to the information:</h3>

The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft

Therefore, we have:

Sineα = opposite/hypotenuse

Where:

Opposite = 35

Hypotenuse = Length

α = 28°

substitute values and solve for the length, as following:

Sine(28) = 35/Length

Length = 35/Sine(28)

Length = 75ft

Therefore,

The length of the ladder is 75 ft.

To know more about hypotenuse visit:

brainly.com/question/8587612

#SPJ4

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If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

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Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

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p   =  b  +  5

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b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

Learn more here: brainly.com/question/11865047

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