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?

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.

heightof the building is19.02 feet,for a20-ft ladder to lean against the building at an angle of72 degrees.## What is an

equation?n expressionthat shows therelationshipbetween two or more variables and numbers.relationshipbetween the sides and anglesof a right angle triangle.hrepresent theheight of the building, hence:h = 19.02 feetheightof the building is19.02 feet,for a20-ft ladder to lean against the building at an angle of72 degrees.equationat: https://brainly.com/question/13763238heightreached by theladderof height 20-ft. inclined at72°is approximately 19.02-ft.## How can the height reached by the ladder be found?

20 feetAnglebetween thegroundandladder= 72°Height reachedby the ladder = Requiredsineof an angle, we have;lengthof the ladder = The hypotenuse side = 20 ft.19.02-ft.sine of angleshere: