Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Your money grows faster because the interest is added back into the principle and then the next time it compounds you get interest on the new principle amount. So for example, you deposit $100 in an account that gets 5% interest compounded semiannually. The first time it compounds you get $5 added to your account so your new balance is $105. The next time it compounds you get 5% on $105 so you get $5.25 added and so on. If this is only happening semi-annually that would be all you get for the year. But if it happens quarterly you would get would get deposits of $5.51 and $5.79 as well. If it compounds monthly or even daily your money would grow more and more. Hope this helps.
It is cheeper to buy 127g of cookies for 7.03$. If you divide the cookie price by the G(cookies) you can see what price is higher.
Store should sell about 31 bicycle for average price of $135 each bicycle.
Step-by-step explanation:
- To find bike we need Algebra to solve the equation.
- when x = 1 , Y = 135 *x
- When x 2 , Y = 135 *2
- Formula you could apply to go for break even y = 135*x
- Bicycle store pays about $4200
- Algebra used for every business and working to make easy task.
- It takes about 31 bicycle a month to get into break even.
- Every store needs break even to not incur lost.
- Break even point is equilibrium between income and expenses.
