Question

You lean a ladder that is 6.7 meters long against a wall. It makes an angle of 63° with the ground. How high up the wall is the top of the ladder? Round to the nearest tenth

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find out how high up the wall the top of the ladder is, we can use trigonometry. Specifically, we can use the sine function.

In this case, the opposite side (height of the wall) is what we're trying to find, the hypotenuse is the length of the ladder (6.7 meters), and the angle is 63°.

The formula to calculate the height is:

height = sin(angle) × hypotenuse

Plugging in the values we have:

height = sin(63°) × 6.7 meters

Using a calculator, we find:

height ≈ 6.7 meters × 0.8910

height ≈ 5.9707 meters

Therefore, the top of the ladder is approximately 5.9707 meters high up the wall. Rounded to the nearest tenth, the top of the ladder is 6.0 meters high up the wall.