Question

in the following figure, Angle B= 90° , Angle ABD is 30° and angle ACB is 60° If CD is 40m, find AB​

Answer 1

Answer:

your answer is = 34.64cm

Step-by-step explanation:

in ∆ABC

tan 60 = AB/BC

AB = √3BC

let BC = x, AB = √3x

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➡in ∆ABD

tan 30=AB / BD

BD=AB

BD=AB =√3

BC + CD = √3

x+40= x √3 (√3)

x + 40= 3x

x= 20

☞ thus,AB = 20√3 = 34.64 cm