# Trigonometry

a 20ft. ladder is leaning against a wall so that the foot of the ladder is 9ft. from the buss of the wall what angle does the ladder make with the ground? what is the distance from the top of the ladder to the base of the house? based in trigonometry

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1. cosØ = 9/20 = .45
Ø = appr 63.3°

y^2 + 9^2 = 20^2
solve for y to get the height

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2. a 5m ladder is leaning against a wall with it's top reaching a height of 4.5m. what angle does the ladder make with the wall

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3. 6. A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground?

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