Question

4) Draw a diagram, write the appropriate trig equation, and then solve each problem.

a. Scott wants to put up his Christmas lights, so he leans his 28 foot ladder up against the side of his house. If the ladder makes a 78° angle with the ground, how far away from the house is the base of the ladder?

Answer 1

The base of the ladder will be found to be 5.8 feet away from the house.

What is the right triangle?

A triangle that has one angle that is equal to 90 degrees and forms a right angle is called a right triangle. The hypotenuse is the side of the right triangle that is opposite the right angle, and the other two sides are referred to as the legs.

Right triangles have properties and relationships that make them important in geometry and trigonometry, and they are fundamental to understanding concepts like trigonometric ratios

Cos 78 = x/28 feet

x = 5.8 feet