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 adb measures 60 degrees and angle bdc measures 30 degrees. the length of dc is 10 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?

The distance between points A and B on the flagpole is 20 feet.

Given information:

Two ropes, AD and BD, are tied to a peg on the ground at point D.

Angle ADB measures 60 degrees and angle BDC measures 30 degrees.

The length of DC is ft.

It is required to calculate the distance between A and B.

Now, use trigonometric ratios to calculate the value of AB as,

Also,

So, the value of AB will be calculated as,

Therefore, the distance between points A and B on the flagpole is 20 feet.

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AB = 20 ft

Step-by-step explanation:

DC = 10√3 ft

Triangle BCD is a right triangle with angles measuring 30°-60°-90°.

The ratio of the lengths of BC to CD is 1:√3.

BC = (10√3)/√3 ft = 10 ft

Triangle ACD is a right triangle with angles measuring 30°-60°-90°.

The ratio of the lengths of DC to AC is 1:√3.

AC = 10√3 × √3 ft = 30 ft

AB = AC - BC

AB = 30 ft - 10 ft

AB = 20 ft

answer:     true

step-by-step explanation: