Question

The Hall of Fame exhibits are displayed in an eight-story, 162-foot tower. Pei originally designed a 200-foot tower, but had to reduce its height to meet the requirements of a nearby airport. From the top of the existing tower, an observer sights the entrance to the museum’s plaza with an angle of depression of 18º. What would be the angle of depression to the entrance of the plaza from Pei’s original tower? Round to the nearest tenth of a degree and enter only the number.

This is a word problem dealing with angle of depression, im not sure how to solve it.

Answer 1

ah, that should help me out

Answer 2

This is where trigonometry comes in handy.

Answer 3

thought i knew where i was going with this but maybe not,
tan18 = opp/adj
tan18= opp/162

is this what i should be doing.

Answer 4

yes

Answer 5

ok so now that ive found that the other side is (52.6)
what do i do with that?

Answer 6

Now use the taller triangle with top angle x, opp = 52.6 and adj = 200

Answer 7

21.9

Answer 8

It needs to be less than 18

Answer 9

tan x = 52.6/200

Answer 10

so it would be 0.263, that doesnt seem right

Answer 11

That is what 52.6/200 is equal to, but that is tan x, not x. x = tax^-1 0.263

Answer 12

You need the inverse tan of 0.263

Answer 13

14.73.

Answer 14

14.7 (nearest tenth of a degree)

Answer 15

ok sounds good to me

Answer 16

It makes sense bec it's less than 18