Question

The drawing in #16 of the textbook shows a person looking at a building on top of which an antenna is mounted. The horizontal distance between the persons eye and the building is 85.0m. IN part the person is looking at the bast of the antenna, and his line of sight makes an angle of 35.0 with the horizontal. IN part the person is looking at the top of the antenna, and his line of sight makes an angle of 38.0° with the horizontal. How tall is the antenna? O 2.52 m O 5.25 nm 6.88 m 8.50 m

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Answer #1

the height of the building in part a

tan theta = y/x

y1 = tan theta x

= tan35 * 85

=59.51 m

the height of the building in part b

tan theta = y/x

y2 = tan theta x

= tan38 * 85

=66.4m

the height of the antenna is

dely =y2- y1 = 66.4 m - 59.51 m = 6.88 m

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