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

Answer:

$\theta=38.42 \textdegree$

Step-by-step 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

 $tan \theta=\frac{EF}{FD}$

 $tan \theta=\frac{2.3}{2.9}$

 $\theta=tan^{-1} 0.793$

 $\theta=38.42 \textdegree$