Question

i am cleaning the windows on my house. i place a 4.5 m ladder against the side of my house to reach a window that is 4 m above the ground. what is the angle that the ladder makes with the ground? hint: think about how a ladder leans to draw your picture. 63° 27° 37° 42°

Explanation:

Step1: Identify right triangle sides

Opposite side = 4m, hypotenuse = 4.5m

Step2: Use sine function

$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{4}{4.5} \approx 0.8889$

Step3: Calculate angle

$\theta = \arcsin(0.8889) \approx 63^\circ$

Answer:

63°