Question

SOMEONE HELP!!!!

Carlota has leaned a ladder against the side of her house. The ladder forms a 53˚ angle with the ground and rests against the house at a spot that is 4 meters high.

Which length is the best approximation for the distance along the ground from the bottom of the ladder to the wall?

A. 2m
B. 3m
C. 4m
D. 5m

Answer 1

3m

Explanation:

Answer 2

Option B is correct

3 m

Explanation:

Using tangent ratio:

`\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}`

As per the statement:

Carlota has leaned a ladder against the side of her house.

The ladder forms a 53˚ angle with the ground and rests against the house at a spot that is 4 meters high

From the given diagram:

⇒Angle of elevation
`(\theta)` = 53 degree and BC = 4 m

To find AB:

Using tangent ratio:

`\tan 53^(\circ) = (BC)/(AB)`

⇒
`\tan 53^(\circ) = (4)/(AB)`

⇒
`AB = (4)/(\tan 53^(\circ)) = (4)/(1.32704482162) = 3.0142162` m

Therefore, the best approximation for the distance along the ground from the bottom of the ladder to the wall length is, 3 m