Question: Lisa wants to know how high a kite is flying. Her brother tells her that the string is 500 feet long which is nailed to the ground. Using a protractor she finds that the angle made by the string and the ground is 65 degrees. Explain in detail with step by step instructions of how Lisa can find the height, perpendicular to ground, that the kite is flying. Find the height.

sin = opp/hyp

height  = opp side

hyp = length of string

sin65 = height / 500

multiply both sides by 500

500 * sin 65 = height

use calculator

453.153893518324982 = height

~ 453 feet

7

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).