Point D is between Points E and F. DE = 3x + 9, DF = 12x - 1 and EF = 38. Find DE and DF.
1 answer:
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Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° = =
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x = ≈ 88.2