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3 years ago

In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?

Mathematics

2 answers:

luda_lava [24]3 years ago

8 0

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

AysviL [449]3 years ago

6 0

Answer:

0.72

Step-by-step explanation:

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