SOLUTION: D is a point on side BC of a triangle ABC such that A is perpendicular on BC. E is a point on AD for which AE:ED = 5:1.If angle BAD =30 and tan(angle ACB)=6tan(angle DBE),Find angl

Question 1001212: D is a point on side BC of a triangle ABC such that A is perpendicular on BC. E is a point on AD for which AE:ED = 5:1.If angle BAD =30 and tan(angle ACB)=6tan(angle DBE),Find angle ACB.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I am assuming the problem states that:
D is a point on side BC of a triangle ABC such that AD is perpendicular to BC.
E is a point on AD for which AE:ED = 5:1.

In that case, the triangle looks like this:
Triangles ACD, ABD, and EBD are right triangles, each of them having a right angle at vertex D.
In triangle ABD,

, so .
In triangle EBD,
.
In triangle EBD,
.
--->---> .
So right triangles ABD and ACD are congruent,
meaning that angles and are congruent.
Since ,

RELATED QUESTIONS
ABC is a triangle. D is a point on AB such that AD = 1/4 AB and E is a point on AC such... (answered by Theo)

Given: Triangle ABC with AD bisecting angle BAC, and AE is congruent to ED (both line... (answered by richard1234)

D is a point on the side BC of an equilateral triangle ABC such that DC is equal to 1/4... (answered by mananth)

ABC is a triangle with base = BC . A line segment DE is drawn parallel to Side AC. D is... (answered by ikleyn)

Triangle ABC is isosceles with AB = AC. Let D be the foot of the altitude from A on BC,... (answered by math_helper)

Given: Equilateral triangle ABC Let D be a point on BC such that BD = {{{1/3}}}BC... (answered by Edwin McCravy)

Given: triangle ABC A(-1,2) B(7,0) C(1,-6) and a point D(4,-3) on segment BC Prove:... (answered by Edwin McCravy)

find the coordinates of point d on line bc such that ad is the shortest segment distance... (answered by ewatrrr)

Hello there, I am hoping that you can help me with this geometry proof. I have been... (answered by mananth)