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  • 11-06-2021
  • Mathematics
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In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.

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bhadelsimron19
bhadelsimron19 bhadelsimron19
  • 11-06-2021

Answer:

angle E is 15 dgeree

Step-by-step explanation:

hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.

take angle E as reference angle .Then,

opposite=DF = 23 feet

hypotenuse=DE = 90 feet

using sin rule

sin E =opposite/hypotenuse

sin E=23/90

sin E=0.255

E = [tex]sin^{-1} (0.255)[/tex]

E=14.77

E=15 degree

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