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Dvinal [7]
3 years ago
7

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=40°, and EF = 75 feet. Find the length of GE to the nearest tenth of a foot

Mathematics
2 answers:
juin [17]3 years ago
5 0

Answer:

19.4 feet

Step-by-step explanation:

Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

Given that the measure of ∠G=90° and  ∠E=40°

EF is the hypotenuse side

FG is the opposite side and

GE is the adjacent side. As such if EF = 75 feet

Cos 75 = GE/75

GE = 75 Cos 75°

= 19.41 feet

≈ 19.4 feet in the nearest tenth of a foot

luda_lava [24]3 years ago
4 0

Answer:

57.5

Step-by-step explanation:

i got it wrong becz of the person above me and ended up finding out the answer lol (this is probably too late anyway)

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