Chapter 5.CT, Problem 11CT

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In △ D E F ,   ∠ D is a right angle and m ∠ F = 30 ° . a) Find DE if EF = 10m.b) Find EF if D F = 6 3 ft.

To determine

a)

To find:

The value of DE.

Explanation

Given, In â–³DEF,âˆ D is a right angle and mâˆ F=30Â°

Hypotenuse EF=10m.

We know that the sum of the angles of the triangle =180Â°

From, â–³DEF,

âˆ F+âˆ D+âˆ E=180Â°

30Â°+90Â°+âˆ E=180Â°

âˆ E=180Â°-120Â°

âˆ E=60Â°

Therefore, the angles in the triangle are 30Â°,60Â°Â andÂ 90Â°

To determine

b)

To find:

The value of EF.

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