Question

A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72 degrees. How high does the ladder reach on the building?

Answer 1

The height reached by the ladder of height 20-ft. inclined at 72° is approximately 19.02-ft.

How can the height reached by the ladder be found?

Length of the ladder = 20 feet

Angle between the ground and ladder = 72°

Height reached by the ladder = Required

Solution:

From the definition of the sine of an angle, we have;

$sin (\theta) = \mathbf{ \frac{opposite \: side}{hypotenuse}}$

The length of the ladder = The hypotenuse side = 20 ft.

The opposite side to the angle 72° = The height reached by the ladder

Which gives;

$sin (72 ^ {\circ})= \frac{height \: reached}{20}$

Height = 20 × sin(72°) = 19.02

• The height reached by the ladder on the building ≈ 19.02-ft.

Learn more about the sine of angles here:

brainly.com/question/2920412

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Answer 2

The height of the building is 19.02 feet, for a 20-ft ladder to lean against the building at an angle of 72 degrees.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angle triangle.

Let h represent the height of the building, hence:

sin(72) = h/20

h = 19.02 feet

The height of the building is 19.02 feet, for a 20-ft ladder to lean against the building at an angle of 72 degrees.

Find out more on equation at: brainly.com/question/13763238

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