Question

He A ladder is leaning against a vertical wall makes an angle of 20⁰ with the ground. foot of the ladder is 3 m from the wall. Find the height of the ladder

Answer 1

Problem:

A ladder is leaning against a vertical wall makes an angle of 20⁰ with the ground. the foot of the ladder is 3 m from the wall. Find the height of the ladder.

Solution:

The situation of the problem can be diagrammed in the following right triangle:

where AC = 3m and BC = L.

Now, we want to find L. Thus, applying the appropriate trigonometric identity we have:

`cos(20^(\circ)\text{)}=(3m)/(L)`

solving for L, we have:

`L\text{ = }(3)/(\cos (20))=\text{ 3.19}`

thus, the correct answer is 3.19