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matrenka [14]
3 years ago
15

I need 12 13 and 15 pretty please

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

12) Im not sure about this one

13) c

14)a

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The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the
Anuta_ua [19.1K]

see the attached figure to better understand the problem

Step 1

in the triangle ABC

<u>Find the distance AC</u>

we know that

In the right triangle ABC

tan(A)=BC/AC

solve for AC

AC=BC/tan(A)

BC=10\ m\\A=35.5\°

substitute the values

AC=10/tan(35.5\°)

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Step 2

in the triangle DEF

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we know that

In the right triangle DEF

tan(D)=EF/DF

solve for DF

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substitute the values

DF=14/tan(54.5\°)

DF=9.99\ m

Step 3

Find the value of x

we know that

the value of x is the difference between AC and DF

x=AC-DF

x=14.02-9.99=4.03\ m

round to the nearest meter-------> x=4\ m

therefore

<u>the answer is</u>

The value of x is  4\ m

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C would = 5 to make this statement true
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