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1) An 18-foot ladder is placed against a house at an angle of elevation of
66 degrees. How high above the ground is the top of the ladder? Round to the
nearest tenth.
Please solve!!

Respuesta :

Answer:

16.4 feet

Step-by-step explanation:

For a right triangle

[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]

Since we know the angle and the hypotenuse, we can calculate the opposite side.

[tex]\sin(66)=\frac{x}{18}[/tex]

Multiply each side by 18

[tex]18sin(66)=x[/tex]

[tex]x=18sin(66)[/tex]  

Calculate sin(66)

[tex]sin(66)=0.914[/tex]

[tex]18*0.194=16.4[/tex]

16.4 Feet

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