Question

Max observes the zoo and the library from a helicopter flying at a height of 300 times square root of 3 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

@aum @campbell_st

Answer 2

well you'll need to find the distance between the helicopter and the zoo... using trigonometry...

\[\sin(60) = \frac{300\sqrt{3}}{d}\]

solve for d, that's the 1st part of the task

Answer 3

d = 600

Answer 4

that's correct... now here is a little trick which only needs minimal calculation



what is the size of x.. in degrees..?

Answer 5

how do i figure that out ?

Answer 6

angle sum of a triangle.... 180 - 120 - 30 = x

Answer 7

30 ?

Answer 8

that's correct... so what type of triangle is triangle HZL...?

Answer 9

acute ?

Answer 10

isosceles

Answer 11

no... its isosceles.... base angles are both equal... so the sides opposite are equal

so the distance between the zoo and library is the same as the helicopter and zoo

Answer 12

so 300 ?

Answer 13

can you please have a look again, HZ and ZL are the equal sides...

Answer 14

i'm sorry i ment 600 -.-

Answer 15

well done and only 1 trig calculation needed.