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20. Joe is standing on top of Marina Towers looking at the Leo Burnett World Headquarters building across the Chicago River. It is 880 feet between buildings. Joe finds the angle of elevation to the top of the Burnett building to be 8 degrees and the angle of depression to the ground level to be 20 degrees. How tall is the Burnett building to the nearest foot?​

Respuesta :

ogorwyne

The height of the Burnett building to the nearest foot be is 444 feet

What is angle of elevation and depression?

The angle from the horizontal to a point or the line of sight is measured with angles of elevation and depression.

when the points is high above the line of sight we have angle of elevation however when the line of sight is below the horizontal we have angle of depression

Given data

distance between the two buildings ( horizontal ) = 880 feet

angle of elevation = 8 degrees

angle of depression = 20 degrees

applying Trigonometry relations

for angle of elevation

tan 8 = h1 / 880

h1 = 123.676 feet

for angle of depression

tan 20 = h2 / 880

h2 = =880 * tan 20

h2 = 320.294

let the height of the Burnett building to the nearest foot be h

h = h1 + h2

h = 123.676 + 320.294

h = 443.97

h = 444 feet

Read more on angle of elevation and depression here: https://brainly.com/question/15580615

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