Question

In ΔDEF, DE = 5 and m∠D = 55.

Find FE to the nearest tenth.

Answer 1

FE=7.1 units

Explanation:

we know that

In the right triangle DEF

The tangent of angle of 55 degrees is equal to divide the opposite side to the angle of 55 degrees (FE) by the adjacent side to angle of 55 degrees (DE)

so

tan(55°)=FE/DE

FE=(DE)tan(55°)

substitute the given value

FE=(5)tan(55°)

FE=7.1 units