
Patrick B. answered 06/09/20
Math and computer tutor/teacher
sin 44 = 80/h where h is the length of the ladder and the hypotenuse
h = 80/sin 44 = 115.16452317005810546249445558624...
Mal R.
asked 06/09/20a painter is standing on a ladder that is leaning against a building. The angle the ladder makes with the ground is 44 degrees. The height of the building is 80 feet. Draw a picture representing the information, and find the length of the ladder, to the nearest foot
Patrick B. answered 06/09/20
Math and computer tutor/teacher
sin 44 = 80/h where h is the length of the ladder and the hypotenuse
h = 80/sin 44 = 115.16452317005810546249445558624...
Jon S. answered 06/09/20
Patient and Knowledgeable Math and English Tutor
| \
| \
| \
80 | \ ladder
| \
| \
| \
| 44 \
|-----------\
The figure has formed a right triangle. The ladder is the hypotenuse of the right triangle. We can use the trigonometric sine function to find the length of the ladder. sine(angle) = length of side opposite angle/hypotenuse, where angle is 44 an length of side opposite angle is 80.
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