In ΔDEF, the measure of ∠F=90°, the measure of ∠D=20°, and EF = 92 feet. Find the length of FD to the nearest tenth of a foot.
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Answer:
The answer to your question is x = 8.69 cm
Step-by-step explanation:
From the image we can conclude that this is a right triangle, so we must use trigonometric functions to solve it.
Data
hypotenuse = x = ?
Adjacent side = 8 cm
Ф = 23°
Process
1.- We must use the trigonometric function cosine to solve this problem.
Cos Ф =
2.- Solve it for hypotenuse
hypotenuse x cos Ф = Adjacent side
hypotenuse = Adjacent side / cos Ф
3.- Substitution
hypotenuse = 8 / cos 23°
3.- Simplify and result
hypotenuse = 8 / 0.9205
hypotenuse = x = 8.69 cm