Question

A 30 ft ladder is leaning against a building. The ladder reaches the bottom of a window that is located 15 ft above the ground. What angle does the ladder make with the ground?

Answer 1

The ladder makes an angle 30 degrees with the ground

Data;

• Length of the ladder (hypothenuse) = 30 ft
• height of the wall (opposite) = 15 ft

When the ladder reclines on the wall, it forms a right-angle triangle and we can solve it.

Using SOHCAHTOA,

We have the value of hypothenuse and opposite and we can use the sine angle of this triangle.

$sin\theta = \frac{opposite}{hypothenuse}\\ sin \theta = \frac{15}{30}\\ sin \theta = 0.5\\\theta = sin^-^1 (0.5)\\\theta = 30^0$

The ladder makes an angle 30 degrees with the ground.

Learn more on trigonometric ratio here;

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