Question

The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the ground. If the ladder is moved by x meters toward the wall, it makes an angle of 54.5° with the ground, and its top is 14 meters above the ground. What is x rounded to the nearest meter?

Answer 1

i dont have a pen and paper but i will try to draw here

Answer 2

In the first triangle you can compute the base by taking the tan(35.5) and using the definition of tan
In the second triangle you can compute the base by taking the tan(54.5) and using the definition of tan
Subtract the two to get x

Answer 3

Make sure you set the calculator to degrees and not radians.

Answer 4

x=12.49

Answer 5

is it in your answer list?

Answer 6

x = 4.03

Answer 7

Yes ranga I did get the same answer and it was correct.

Answer 8

4