After a storm, a 36-foot tall tree is now leaning
towards a house, making an 87° angle with the
ground. If the angle of elevation from the base of
the house to the top of the tree is 38°, how far is the
tree from the house?

Respuesta :

The distance of the tree from the house is: 45.99 feet

What is angle of elevation?

Angle of elevation is the angle the horizontal makes with the line of sight.

Analysis:

The tree lean towards a house meaning it does not lean on the house but a distance away from the house.

let the distance away from the house be d.

The line of sight intersects the top of the tree at a point.

The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet

to find distance of the tree from the house, we use the angle of elevation which is 38  degrees. so that tan 38 = 35.92/d

d = 35.92/0.781  = 45.9 feet

In conclusion, the distance of the tree from the house is 45.9 feet

Learn more about angle of elevation: brainly.com/question/88158

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