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Marina86 [1]
3 years ago
12

What is side Bc round to nearest hundredth

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

BC = 15.01

Step-by-step explanation:

Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:

sinθ = opp / hyp

cosθ = adj / hyp

tanθ = opp / adj

θ means the "angle of reference" (angle we are talking about).

In this problem, θ is A = 65°,

To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.

We also use BC because we need to find it.

In relation to ∠A or θ, <u>AC is adjacent</u> and <u>BC is opposite</u>.

The ratio with adjacent and opposite is tangent.

tanθ = opp / adj              Substitute the variables for this question

tanA = BC / AC               Substitute the values you know

tan65° = BC / 7               Rearrange this and isolate C

BC = 7tan65°                  Multiply 7 and tan65 to find the missing side

BC = 15.011548......          Exact answer on your calculator

BC ≈ 15.01                       Round to nearest hundredth

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