Solve the problem.A building 180 feet tall casts a 30 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)

A. 10°
B. 9°
C. 80°
D. 81°


Answer: B

Mathematics

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Provide an appropriate response.What is wrong with the following?y = (x3)(x5) = (3x2)(5x4).What is the correct derivative?

What will be an ideal response?

Mathematics

Find the potential function f for the field F.F = i +  j - k

A. f(x, y, z) =  + C
B. f(x, y, z) =  + ln z + C
C. f(x, y, z) =  + C
D. f(x, y, z) =  + C

Mathematics

Solve the problem.A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 567 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 900 km to 169 km.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Find the indicated value of the polynomial using the Remainder Theorem. p(x) = 2x³ - 2x² + 11x - 100; find p(3)

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Mathematics