Question

According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value 125?

tan C

cos C

tan A

sin A

Answer 1

The correct answer is tan A

Answer 2

tan A

Explanation:

Using the notation SOH CAH TOA

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

from the triangle,

hyp = 13 while opp and adj are 12 and 5 respectively

therefore, the ratio 12:5

= tan = opp/adj = 12/5