Question

In ΔDEF, the measure of ∠F=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answer 1

`\theta=38.42 \textdegree`

Explanation:

From the question we are told that:

Angle of F
`\angle F=90 \textdegree`

Length of
`EF = 2.3 feet,`

Length of
`FD= 2.9 feet,`

Generally the equation for Angle D
`\theta` is mathematically given by

Since
`\angle F=90`.The triangle is a right angle Triangle

Therefore

`tan \theta=(EF)/(FD)`

`tan \theta=(2.3)/(2.9)`

`\theta=tan^(-1) 0.793`

`\theta=38.42 \textdegree`