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A 15.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 44 degree 15' with the horizontal. d almostequalto m (Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth.)

Respuesta :

pedrocarratore

Answer:

10.82 m

Step-by-step explanation:

Length of ladder (L) = 15.5 m

Degree with the horizontal (θ) = 44°15'=44.25°

This problem can be interpreted as a right triangle with L being the hypotenuse. The distance 'd' the ladder goes up the wall is the side opposite to the given angle. Therefore, the sine property can be used to find 'd':

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\sin(44.25)=\frac{d}{15.5}\\d= 10.82\ m[/tex]

The distance that the ladder goes up the wall is roughly 10.82 m.

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