PLEASE HELP! 15 POINTS! ABC and is a straight line

Work out the length of AC
Give your answer to 1 decimal place

19.2

Step-by-step explanation:

I hope it helps you.....

AC ≈ 19.2 cm

Step-by-step explanation:

Using Pythagoras' identity in Δ BCD to find BC

BC² + BD² = DC² , that is

BC² + 12.6² = 19.3²

BC² + 158.76 = 372.49 ( subtract 158.76 from both sides )

BC² = 213.73 ( take the square root of both sides )

BC = ≈ 14.62

Using the tangent ratio in Δ ABD to find AB

tan20° = = = ( multiply both sides by 12.6 )

12.6 × tan20° = AB , then

AB ≈ 4.59

Then

AC = AB + BC = 14.62 + 4.59 ≈ 19.2 cm ( to 1 dec. place )

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step-by-step explanation: