Question

WILL GIVE MEDAL what is the length of EF and the measure of angle D?

Answer 1

Image please?

Answer 2

The sum of angle D and the given angle should 90 so: 90 - 47 = 43

So D is 43.

Answer 3

Use tan to find the missing side.

Answer 4

\[tan47 = \frac{ 28 }{ x }\]

Answer 5

So 28;43?

Answer 6

\[(x)(tan47) = 28\]
tan47 = 1.07 rounded
\[(x)(1.07) = 28\]
\[\frac{ (x)(1.07) }{ 1.07 } = \frac{ 28 }{ 1.07 }\]

Answer 7

EF² = 35² - 28²
EF² = 1225 -784
EF = sqrt(441)
EF = 21

Answer 8

yeah that's the exact solution, I was rounding so it wouldn't be exact anyway.

Answer 9

Thank you!