Solve the following application problem. Show all work to receive full credit?

Question

A man at ground level measures the angle of elevation to the top of a building to be . If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.

B. The same man now stands atop a building. He measures the angle of elevation to the building across the street to be and the angle of depression (to the base of the building) to be .

If the two buildings are 50 feet apart, how tall is the taller building? See the figure. Round to the nearest hundredths.

Answer 1

A. Draw a right triangle representing the information here.  It will have the distance to the building along the bottom (12 ft), the side of the building 90° up from the ground, and a line from where the person is to the top of the building.

You know the angle (although you didn't tell us!), and you know one side.  Use trigonometry.  

tan(angle) = opposite/ adjacent

tan(angle) = height of building/ 12

Put in your angle and complete the calculation.

You can do B with two right triangles, one for the angle of elevation, one for the angle of depression, and put the two lengths together.

Answer 2

First of all, you fail to provide the angles involved so none of the problems are solvable.  Secondly, this is your homework assignment.  Get on with it.  Check your assignment to find the missing information because that will help you solve it.