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.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0400_Subtest_04_15/image0034e2d6fe8.jpg
Angle ADC measures 45° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

3.66 feet

6.34 feet

1.55 feet

2.74 feet

I think the answer is A?

Answer 1

do you just want the answer?

Answer 2

No -___- I need to know how to do this. I'm actually doing this for a friend I took this class 3 years ago but I forgot it :( haha So I need help to know how to explain it to him.

Answer 3

do you know how to find bc using trig?

Answer 4

Umm I *think* cos = adjacent / hypotenuse? Urg I didn't being my paper I had all this written down on. (I'm not at home)

Answer 5

*bring

Answer 6

using tan=opposite/adjacent

Answer 7

pffft so close xD

Answer 8

you dont need the hypothesus

Answer 9

I actually had a B+ in this class. Too bad I don't remember anything xD

okay um idk what to use lol

Answer 10

once you apply tangent you will get the length of bc

Answer 11

to find ab you will subtract ac-bc

Answer 12

notice that there are two triangles

Answer 13

the bigger triangle will give you ac

Answer 14

by applying tangent again, but this time the angle will not be 30

Answer 15

do you know what it will be? the angle?

Answer 16

.-.
Like, ummm. Well. xD no.

I think it would be something like 9 ÷ 5√3 = 3.05 ?? Or close

Answer 17

the angle of the big triangle will be 45+30=75

Answer 18

You only add the angles?
Why do I complicate such elementary principles? .-.

Answer 19

applying tangent to find the big triangle you have tan75=x/5(3)1/2

Answer 20

tan75=x/5(3)^1/2

Answer 21

Do you get it?

Answer 22

@Romero no, not really :/