I really need help figuring out this question!

(07.04 MC)

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below:

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 60 degrees and angle BDC measures 30 degrees. The length of DC is 5 multiplied by square root of 3.
Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

Question

I really need help figuring out this question!

(07.04 MC)

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below:

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 60 degrees and angle BDC measures 30 degrees. The length of DC is 5 multiplied by square root of 3.
Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

impxssive · Answer

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thesmartone · Answer

There's a neat formula to solve these kinds of questions. Let me try to find it real quick, mhmm

impxssive · Answer

I think that we need to use one of the trigonometric functions (sin, cos, or tan) but I'm not sure which one and I'm very bad with radicals!

thesmartone · Answer

mhmm, let's do it that way then :)

let's break up the figure. Can you find the side opposite 30 degrees? Use the ratio of sides of 30-60-90 triangles :)|dw:1471457186876:dw|