D. 10.83 math question don't guess

Remark

You need to do some trig to get the final answer. There is no way around it. You can however, solve the first part with the Pythagorean Theorem.

Step One

Find AB

AB^2 = DB^2 + AD^2

AB^2 = 7.5^2 + 4.9^2

AB^2 = 56.25 + 24.01

AB^2 = 80.26

AB = sqrt(80.26)

AB = 8.9588

Step Two

Move to the triangle on your right. Find x

Tan(C)= opposite / adjacent

Tan(55.8) = AB/adjacent

Tan(55.8) = 8.9588/ x Multiply both sides by x

x * tan(55.8) = 8.9588 Divide by tan(55.8)

x = 8.9588/tan(55.8)

x = 6.09

A

2425

step-by-step explanation:

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