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Posted by **karina** on Tuesday, February 8, 2011 at 10:33pm.

What is Tamara's angle of depression to the landing site?

What is the actual distance between the hot air balloon and the landing site?

- pre cal -
**anon**, Tuesday, February 8, 2011 at 10:58pmIf you sketch this out you will have a right triangle, I will call ABC.

A is the vertex = angle of depression

AC (side b) = base = 1400 feet

BC (side a) = leg = 1100 feet

AB (side c) = hypotenuse = distance to landing site

To find angle A (angle of depression)

tan A = a/b = 1100/1400 = 0.7857

tan A = 0.7857

arctan 0.7857 = 38.16 deg

To find C (distance to airport)

c^2 = a^2 + b^2

c^2 = 1100^2 + 1400^2

c^2 = 1,210,000 + 1,960,000

c^2 = 3,170,000

c = 1780.45 feet

1780.45/5280 feet in mile = 0.34 miles

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