Question

A 19 ft. ladder is leaning against a building that it is 13 ft. away from. Using the drawing below (not drawn to scale), find θ between the top of the ladder and the building. Round your answer to the nearest degree.

Answer 1

43 °

Explanation:

The ladder is the hypotenuse 13 feet is one leg of a a right triangle

sin = opposite leg / hypotenuse

sin (theta ) = 13 / 19

theta = arcsin (13/19) = 43°