Question

Solve for side AB. Show all your work Please help!

Answer 1

Given triangle is a right angle triangle so we are allowed to use trigonometric formulas.

We want to find Hypotenuse using angle A and base 7 cm

so right choice is to use cosine

$\cos(A)=\frac{AC}{AB}$

$\cos(25^{\circ})=\frac{7}{AB}$

$0.90631=\frac{7}{AB}$

$AB=\frac{7}{0.90631}$

$AB=7.72362657369$

Hence value of side AB is approx 7.72 cm.