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exis [7]
3 years ago
13

PLEASE HELP! 15 POINTS!

Mathematics
2 answers:
allsm [11]3 years ago
4 0

Answer:

19.2

Step-by-step explanation:

I hope it helps you.....

Nastasia [14]3 years ago
3 0

Answer:

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 = \sqrt{213.73} ≈ 14.62

Using the tangent ratio in Δ ABD to find AB

tan20° = \frac{opposite}{adjacent} = \frac{AB}{BD} = \frac{AB}{12.6} ( 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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