audreyjj6646 audreyjj6646
  • 25-03-2021
  • Mathematics
contestada

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot

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MrRoyal
MrRoyal MrRoyal
  • 25-03-2021

Answer:

[tex]CD = 4.4ft[/tex]

Step-by-step explanation:

Given

[tex]DE = 12[/tex]

[tex]\angle C = 70^\circ[/tex]

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

[tex]tan(70) = \frac{DE}{CD}[/tex]

Substitute 12 for DE

[tex]tan(70) = \frac{12}{CD}[/tex]

Make CD the subject

[tex]CD = \frac{12}{tan(70)}[/tex]

[tex]CD = \frac{12}{2.7475}[/tex]

[tex]CD = 4.4ft[/tex] --- approximated

Ver imagen MrRoyal
Answer Link
mattnoitall mattnoitall
  • 31-03-2021

Answer:

12.8

Step-by-step explanation:

Answer Link

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