A string of kite 100 meters long and it makes an angle of 60 degrees with horizontal. If the person is holding the string 0.8 m from the ground, find the height of kite from the ground

87.4m

Step-by-step explanation:

sin(θ) is the ratio of the opposite side to the hypotenuse

opposite side is the height and hypotenuse is the length of the string

100 Sin 60 gives the height from the hand.

100 x sin60 = 100 x 0.866 = 86.6m from the hand.

Since the hand is 0.8m above the ground height is = 86.6 + 0.8 = 87.4m

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3