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A ladder leans against the side of a house. The angle of elevation of the ladder is 74° when the bottom of the ladder is 14 feet from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Respuesta :

Answer:

The length of the ladder is 50.8 ft

Step-by-step explanation:

we are given

the angle of elevation of the ladder is 74° when the bottom of the ladder is 14 feet from the side of the house

So, firstly, we will draw diagram

we can see that

angle =74

base length =14

we have to find hypotenuse

so, we can use trig formula

[tex]cos(74)=\frac{14}{L}[/tex]

now, we can solve for L

[tex]L=\frac{14}{cos(74)}[/tex]

we get

[tex]L=50.7913ft[/tex]

So,

The length of the ladder is 50.8 ft

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