There is lightning rod on the top of a building. From a location 650 feet from the base of the building, the angle of elevation to the top of the building is measured to be 40°.

Question

There is lightning rod on the top of a building. From a location 650 feet from the base of the building, the angle of elevation to the top of the building is measured to be 40°. From the same location, the angle of elevation to the top of the lightning rod is measured to be 44°. Find the height of the lightning rod. 

Answer 1

Draw and label a diagram.

Label the height of the building b

Label the height of the rod r

tan 40° = b / 650, solve for b

tan 44° = (b + r) / 650, solve for r by substituting value of b from above.