Question

What is the answer to this question?

Answer 1

The length of DE = 6.4

Explanation:

From the figure we can see a right angled triangle FED.

Right angled at E

To find the DE

Here,

FE = 12 and <D = 62

Tan D = Opposite side/Adjacent side

Tan 62 = FE/DE

DE = FE/Tan(62) = 12/(Tan(62) =12/1.88 = 6.38 ≈ 6.4

Therefore the length of DE = 6.4

Answer 2

6.4

Explanation:

The given triangle is a Right Angled Triangle with right angle at E.

So, measure of angle E = 90 degrees

measure of angle D = 62 degrees

measure of side FE = 12

We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.

`\textrm{Tangent of angle}=(Opposite)/(Adjacent)\\\\tangent(62)=(FE)/(DE)\\\\tangent(62)=(12)/(DE)\\\\DE=(12)/(tangent(62))\\\\DE=6.4`

Therefore, the value of DE, rounded to nearest tenth is 6.4