Help pls :(

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

Angle ADC measures 45° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

A. 3.66
B. 6.34
C. 1.55
D. 2.74

Question

Help pls :(

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


Angle ADC measures 45° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

A. 3.66
B. 6.34
C. 1.55
D. 2.74

anonymous · Answer

attachment

anonymous · Answer

apply tan formula in both triangles

anonymous · Answer

tan A =perpendicular/base .where a is angle of a right angle triangle

anonymous · Answer

on applying the formula in triagle DBC u will get  the length BC

anonymous · Answer

then apply the formula in triangle ADC u will get the length of AC

anonymous · Answer

now AC-BC=AB

anonymous · Answer

u got the answer