Question

In triangle DEF, DE = 15 and m angle F =32. Find EF to the nearest tenth.

A) 8.3

B) 28.5

C) 7.9

D) 24.0

Answer 1

(D) 24.0

Explanation:

It is given that in triangle DEF, DE=15 and m∠F=32°

In triangle DEF, using the trigonometry, we have

`(DE)/(EF)=tan32^(\circ)`

Substituting the given values, we have

`(15)/(EF)=tan32^(\circ)`

⇒
`(15)/(EF)=0.625`

⇒
`(15)/(0.625)=EF`

⇒
`EF=24.0`

Thus, the value pf EF is 24, Hence option D is correct.

Answer 2

the picture in the attached figure

we know that
in the right triangle DEF
tan 32°=DE/EF------> EF=DE/tan 32°-----> EF=15/tan 32°---> EF=24.0

the answer is the option
D) 24.0