Question

question
nubhitha leans a 26 - foot ladder against a wall so that it forms an angle of 61° with the ground. what’s the horizontal distance between the base of the ladder and the bottom of the wall? round your answer to the nearest hundredth of a foot if necessary.

Explanation:

Step1: Identify adjacent side

We use cosine: $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$, where $\theta=61^\circ$, hypotenuse = 26 ft, adjacent = distance $d$.

Step2: Rearrange to solve for $d$

$d = 26 \times \cos(61^\circ)$

Step3: Calculate the value

$\cos(61^\circ) \approx 0.4848$, so $d \approx 26 \times 0.4848$
$d \approx 12.6048$

Step4: Round to nearest hundredth

Round 12.6048 to two decimal places.

Answer:

12.60 feet