Question

ribs
directions: complete this task by following all steps on our attached checklist.
kristina places a 10 foot ladder 4 feet from the base of her house and leans it up against the side of her house because she forgot to lock the window and somehow her cat got up there. what is the measure of the angle the bottom of the ladder makes with the ground? round to the nearest degree.

Explanation:

Step1: Identify triangle sides

Adjacent side to angle: $4$ ft, Hypotenuse: $10$ ft

Step2: Use cosine definition

$\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}} = \frac{4}{10} = 0.4$

Step3: Calculate inverse cosine

$\theta = \cos^{-1}(0.4)$

Step4: Round to nearest degree

$\theta \approx 66^\circ$

Answer:

66 degrees