Answer:
Step-by-step explanation:
Two fire towers and the spot of fire make a triangle . The two sides of the triangle are 45 miles and 60 miles and they are inclined at an angle of 62° . If a and b are two sides and C is the angle between them . c is the side opposite to angle C then
From trigonometric formula
cos C = [tex]\frac{a^2+b^2-c^2}{2ab}[/tex]
Putting the given values
cos62 = [tex]\frac{45^2+60^2-c^2}{2\times 45\times 60}[/tex]
2535.15 = 2025 + 3600 - c²
c² = 3089 . 85
c = 55.58 miles.
