Question

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 45 degrees. The length of DC is 9.

Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole?

6.59 feet
1.73 feet
4.32 feet
2.56 feet

Answer 1

@karatechopper

Answer 2

@Owlcoffee

Answer 3

@TheSmartOne

Answer 4

@AngusV

Answer 5

@slade

Answer 6

2.56 i think @TheSmartOne do u agree

Answer 7

How do I do it though?

Answer 8

Which one do you believe it is @CaptainLlama49

Answer 9

Im not sure how to do it

Answer 10

This is a isosceles triangle

Answer 11

Distance formula?

Answer 12

Locate AC using tan(60) = AC/9 and find BC using tan(45) = BC/9

Then find AB using AB = AC - BC

Answer 13

2.56?

Answer 14

Follow this; AB = 9*tan(60)-9*tan(45)

Answer 15

Plug it in and will give the answer

Answer 16

Be confident and trust me; I know you could do this! ;)

Answer 17

-9+9√3

Answer 18

Make sure if using calculator is in degree mode

Answer 19

6.59 should be your answer

Answer 20

It gave me the same thing, something is wrong with my calculator

Answer 21

Not at all; A is your answer

Answer 22

Thanks for guiding me through :)