Question

Max observes the zoo and the library from a helicopter flying at a height of 400 times square root of 3 feet above the ground, as shown below:

A helicopter is flying at a height of 400 multiplied by square root of 3 feet above the ground. A zoo and a library are on the ground on the same side of the helicopter. The angle made by the line joining the helicopter and the zoo with the ground is 60 degrees. The angle made by the line joining the helicopter and the library with the ground is 30 degrees.

What is the distance between the zoo and the library?

800 feet
600 feet
200 feet
400 feet

Answer 1

@nincompoop

Answer 2

@sammixboo

Answer 3

@anonymous

Answer 4

@TheSmartOne

Answer 5

@agent0smith

Answer 6

First find the distance from the Zoo to G. You can use tangent. Or special right triangles.
Then find the distance from the library to G. Again using tangent. Or special right triangles.

Answer 7

How? Very confused.

Answer 8

Remember special right triangles?

Answer 9

no.

Answer 10

Well you either need those, or knowledge of sine, cosine, tangent to solve this.

Answer 11

explain using knowledge of sine, cosine, tangent.

Answer 12

What class are you actually in? I need to know what you know, what you've learned.

Answer 13

Taking Geometry.

Answer 14

SO you've probably learned special right triangles https://cobbk12.blackboard.com/bbcswebdav/courses/CPR.Math.ANewsome/Right%20Triangle%20Trigonometry/Ratios.png

Answer 15

Never assume anything. I truly and utterly have no idea what you're talking about. My strong point is literature, not mathematics.

Answer 16

You must have seen special right triangles before, to be given this question.

Answer 17

Or at least sine, cosine, tangent. But I don't know what you have or haven't learned.

Answer 18

Again, knowledge of sine, cosine, tangent is readily available. knowledge of special right triangles is not.

Answer 19

However, I have determined that the distance from angle G to the zoo is 400 feet.

Answer 20

https://telcoantennas.com.au/site/sites/default/files/images/TanCalculation.jpg

tangent of an angle = opposite/adjacent

Use that to find the unknown distances

Answer 21

ie \[\large \tan 60 = \frac{ 400 \sqrt 3 }{ zoo }\] \[\large \tan 30 = \frac{ 400 \sqrt 3 }{ library }\]

Answer 22

With those you can solve for the zoo and library distances from G, then you can find the distance between the zoo and library.

Answer 23

Thank You!!!!!!

Answer 24

You're welcome.

Answer 25

And the answer is .....
Dun dun dun...
800 Feet!!!

Answer 26

Yep.