Answer:
Option B is correct
3 m
Step-by-step 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:
\(\tan 53^{\circ} = \frac{BC}{AB}\)
⇒\(\tan 53^{\circ} = \frac{4}{AB}\)
⇒\(AB = \frac{4}{\tan 53^{\circ}} = \frac{4}{1.32704482162} = 3.0142162\) m
Therefore, the best approximation for the distance along the ground from the bottom of the ladder to the wall length is, 3 m
