Question

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high, approximately how far is the bottom of the ladder from the wall?

- 2 m

- 5 m

- 3 m

- 4 m

Answer 1

then u need to use tanФ=perpendicular/base
tan72°=6/x
3.077=6/x
x=1.949
x=2 m approx

Answer 2

(A) 2 meter

Explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

`(CB)/(AB)=tan72^(\circ)`

`(6)/(x)=tan72^(\circ)`

`(6)/(x)=3.077`

`x=(6)/(3.077)`

`x=1.94`

`x`≈
`2m`

Thus, option A is correct.