A carpenter leans a 20-foot ladder against a building so that an angle of 60° is formed between the ladder and the ground. How many feet away from the
building is the bottom of the ladder?
O 10/3ft
O 20 ft
O 20V2 ft
O 10 ft

Respuesta :

Answer:

The foot of the ladder is

10

feet away from the base of the wall.

Step-by-step explanation:

The distance between building and the bottom of the ladder is option (D) 10 ft

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Length of the ladder = 20 foot

Angle between the ladder and the ground = 60  degrees

Draw the figure using the given data

We know,

cos θ = Adjacent side / Hypotenuse

cos 60 = [tex]\frac{x}{20}[/tex]

x = 20 × cos 60

x = 10 ft

Hence, the distance between building and the bottom of the ladder is option (D) 10 ft

Learn more about Trigonometric function here

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