Question

Max observes the zoo and the library from a helicopter flying at a height of feet above the ground, as shown below.



What is the distance between the zoo and the library?

300 feet

600 feet

900 feet

100 feet

Answer 1

@jim_thompson5910

Answer 2

tan 30 = 300sqrt3 / GL
tan 60 = 300sqrt3 / GZ

find GL and GZ

distance required = GL - GZ

Answer 3

Let H = point at the helicopter, Z = point at the zoo and L = point at the library


First find GL. Then find GZ. With these two, you can find ZL


Hints:

tan(30) = GH/GL


tan(30) = 300*sqrt(3)/GL


GL = 300*sqrt(3)/tan(30)

-----------------

tan(60) = GH/GZ


tan(60) = 300*sqrt(3)/GZ


GZ = 300*sqrt(3)/tan(60)

------------------

ZL = GL - GZ

Answer 4

ok so then what

Answer 5

type

300*sqrt(3)/tan(30) - 300*sqrt(3)/tan(60)

into your calculator to get

https://www.google.com/search?hl=en&newwindow=1&safe=active&rlz=1B3GGLL_enUS420US420&q=300*sqrt%283%29%2Ftan%2830+degrees%29+-+300*sqrt%283%29%2Ftan%2860+degrees%29&oq=300*sqrt%283%29%2Ftan%2830+degrees%29+-+300*sqrt%283%29%2Ftan%2860+degrees%29&gs_l=serp.12..19.46016.51592.0.53562.16.16.0.0.0.0.671.2226.3j12j5-1.16.0.les%3B..0.0...1c.fy0Y6P8xuts

Answer 6

thank you

Answer 7

np