Question

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.

Answer 1

Answer:

1.6

Step-by-step explanation:

x\tan 70=4.4

xtan70=4.4

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{4.4}{\tan 70}

tan70

xtan70

​  

=  

tan70

4.4

​  

 

Divide each side by tan 70.

x=\frac{4.4}{\tan 70}=1.6015\approx 1.6\text{ feet}

x=  

tan70

4.4

​  

=1.6015≈1.6 feet