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soldi70 [24.7K]
4 years ago
7

A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.

Mathematics
1 answer:
levacccp [35]4 years ago
5 0

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

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Divide through by 4:-

2m^2 + 5m - 3 = 0

(2m - 1 )( m + 3 ) = 0

m = 1/2 , -3 answer

3 0
4 years ago
BRAINLY PLS HELP ME OUT ON THE 5,2 what the m value I beg you ASP
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Answer:

hypotenuse = 5

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Using Pythagoras theorem,

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=> 25 = 4 + m²

=> 25–4 = m²

=> √21 = m

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8 0
3 years ago
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3 years ago
A 48 in, by 36 in. poster is reduced to an image that is 8 in. by 6 in. in size to be used for a flyer. What is the scale factor
oee [108]
Before we solve, let's define what a scale factor is. A scale factor is a certain number that can be multiplied or divided by to get a smaller or bigger image that's similar to the current image.

We have 48 by 36 as our original.
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This means we must divide.

Before we get into any complicated ideas, if any, let's try a simple trick.
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It turns out our scale factor is 1/6 (the same as dividing by 6).
The answer cannot be 1/8 because 36 / 8 doesn't give us 8 as a quotient.
The answer also cannot be 6 because we'd have to mutliply our current sides by 6 to get the new image, which it was the opposite.

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Answer:

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3 years ago
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