Question

A ladder leans against a side of a building, making a 63-degree angle with the ground, and reaching over a fence that is 6 feet from the building. The ladder barely touches the top of the fence, which is 8 feet tall. Find the length of the ladder.

Answer 1

Answer:

The answer to your question is 10 ft

Step-by-step explanation:

Data

Adjacent side = b = 6 ft

Opposite side = a = 8 ft

Hypotenuse = c = ?

angle = 63°

Process

1.- Use the Pythagorean theorem to find the length of the ladder.

                 c² = a² + b²

- Substitution

                 c² = 8² + 6²

-Simplification

                 c² = 64 + 32

                 c² = 100

                 c = $\sqrt{100}$

- Result

                c = 10 ft

2.- Conclusion

The ladder has a length of 10 ft