Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Find accurate and detailed answers to your questions from our experienced and dedicated community members.

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

Sagot :

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.