An 18-foot ladder touches a building 14 feet up the wall. What is the angle measure, to the nearest degree, of the ladder to the

Question

vivado [14]

2 years ago

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An 18-foot ladder touches a building 14 feet up the wall. What is the angle measure, to the nearest degree, of the ladder to the

ground?

Mathematics

1 answer:

kondor19780726 [428] · Answer 1 · 2022-08-17T21:20:20+03:00

Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.