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4 years ago

PLEASE someone help me!!! I will brainliest!!!

Mathematics

1 answer:

Katarina [22]4 years ago

5 0

Answer:

BC = 20.225

Step-by-step explanation:

Call the point on CD where the triangle vertex is point X.

Then we have ...

BC·tan(20°) = CX

DE·tan(25°) = DX

CX +DX = AB

AB·tan(20°) = AE

AE +DE = BC

Now we can write BC in terms of itself:

BC = AE +DE = AB·tan(20°) +DE

BC = (CX +DX)·tan(20°) +DE = (BC·tan(20°) +DE·tan(25°))·tan(20°) +DE

BC(1 -tan(20°)²) = DE(1 +tan(25°)·tan(20°))

BC = DE(1 +tan(25°)·tan(20°))/(1 -tan(20°)²) . . . . where DE = 15 cm

BC ≈ 20.225 cm

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Jika pernyataannya opsional, penyebutnya adalah 1

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