Question

Solve the right triangle. Round decimal answers to the nearest tenth.find DEfind angle Efind angle D

Answer 1

Step 1

Find DE

Applying Pythaorean Theorem

DE^2=EF^2+FD^2

substitute

DE^2=8^2+14^2

DE^2=260

DE=√260

simplify

DE=2√65 units

step 2

Find the measure of angle E

we have

tan(E)=14/8

m

step 3

Find the measure of angle D

Remember that

E+D=90 -----> by complmentary angles

so

mm