Math Problem?
An 8-m ladder is leaning against a house at an angle of 70º with the ground. Determine the distance of the bottom of the ladder from the house, and the distance of the top of the ladder from the ground.
An 8-m ladder is leaning against a house at an angle of 70º with the ground. Determine the distance of the bottom of the ladder from the house, and the distance of the top of the ladder from the ground.
Comments
Horizontal
8 cos 70⁰ = 2•74 m
Vertical
8 sin 70⁰ = 7•52 m
bottom of ladder is x feet from house
cos(70°) = x/8
x = 8cos(70°) ≅ 2.74 m
top of ladder is y feet from ground
sin(70°) = y/8
y = 8sin(70°) ≅ 7.52 m
x = bottom from the house = 8cos70° ≈ 2.7 m
y = top from ground = 8sin70° ≈ 7.5 m
cos(70) = x/8
x = 8 cos(70)
x = 2.74 m
sin(70) = y/8
y = 8 sin(70)
y = 7.52 m
https://gyazo.com/a718371c0e5348bcf3d0f6fd64d79316
ladder to house = (8 m)*cos(70 deg) = 2.7 m;
ladder top to ground = (8 m)*sin(70 deg) = 7.5 m.