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frozen [14]
3 years ago
13

(SAT Prep) In the figure, what is the length of BC?

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0
The answer is 18 I took the test
TiliK225 [7]3 years ago
6 0

Answer:

I got 18 as my answer

Step-by-step explanation:

I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E

Then I found the angle of D

sin θ = 5/13

θ = sin-¹(5/13)

θ≅22.619°

Then I found length of DE by

cosθ (remember we know what theta is) = X/13

12cosθ = X

X = 12

The length of DE is 12.

Since AD is 30, and the left side has two right angles we can do

AD - DE to find BC.

30-12 is 18

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