Question

A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the building. What is the measure of the angle formed by the ladder and the building? Enter your answer, rounded to the nearest degree, in the box.

Answer 1

74 degrees.

Explanation:

tan x = 7/2 where x is the required angle.

x = 74 degrees.

Answer 2

Answer:16 degrees

Explanation:

The scenario is illustrated in the attached diagram. The triangle ABC formed is a right angle triangle. The length of the ladder represents the hypotenuse of the triangle. The distance of the foot of the ladder from the base of the building represents the opposite. The adjacent is the distance between base of the building and point which the ladder reaches on the building.

We would apply trigonometric ratio to get the angle, # formed between the ladder and the building. It becomes

tan# = opposite/adjacent

tan# = 2/7 = 0.2857

# = arctan0.2857 = 15.94 degrees.

Approximately 16 degrees