Question

A sailboat has a triangular sail with an area of 20 square feet. The height of the sail is 6 feet more than the length of the base of the sail. Find the height of the sail.

Answer 1

base length --- x
height ---- x+6

(1/2)(x)(x+6) = 20
x(x+6) = 40
x^2 + 6x - 40 = 0
(x+10)(x-4) = 0
x = 4 or x is some negative

the height is 10 ft , (from x+6)

Answer 2

. .area of triangle = 1/2 bh . Height of sail . = 6+b. . .20 = 1/2 x b x (6 + b) . 20= 1/2 x 6b + b^2. 6b +b^2 =40. . b^2 + 6b - 40. . (b+10)(b - 4). b=-10 or 4 and h =6 + b . Height of sail =6 +4 =10. . Height of sail =10 meters

Answer 3

Going against the wind, a cyclist was able to reach 60 km in a matter of 4 hours. With the wind, she was able to cover 150 km in 6 hours. What would be the speed of the cyclist in calm air and how fast was the wind blowing?

Answer:

The wind was blowing at ____ kph.