(GEOMETRY) 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.

What is the distance between the zoo and the library?

800 feet

600 feet

200 feet

400 feet

Question

(GEOMETRY) 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.

What is the distance between the zoo and the library?

800 feet

600 feet

200 feet

400 feet

anonymous · Answer

attachment

phi · Answer

if you label the angles, you will see you have a 30-60-90 right triangle on the left
and ans isosceles triangle on the right.

anonymous · Answer

@phi oh okay, so its 600?

phi · Answer

in a 30-60-90,  if they give you the side opposite the 60 deg angle, what is the hypotenuse?

phi · Answer

That is the factoid you need to know to quickly solve this problem

anonymous · Answer

@phi I got 67

phi · Answer

This explains 30-60-90 triangles http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri30.htm the side opp 30º angle is H/2 the side opposite the 60º angle is sqrt(3)*H/2 they give you this side= 400*sqrt(3) 400*sqrt(3)= sqrt(3)*H/2 can you find H using algebra?

phi · Answer

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