Hi there!
We can use right-triangle trigonometry to solve.
We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.
cosθ = Adjacent/Hypotenuse
We can plug in what is given:
cos(28) = A/17
Solve for 'A':
17cos(28) = <u>15.01 ft</u>
Answer: 359 ft
<u>Step-by-step explanation:</u>
Whenever you have a problem like this, you must first make an assumption that the building (in this case the lighthouse) is perpendicular to the ground (or sea). This allows you to create a right triangle (see attached image).
The angle of depression is the angle from an imaginary perpendicular line passing through the top of the building. Since that imaginary line is parallel to the ground (or sea), you can use alternate interior angles to place that angle in the triangle.
NOTE: BOTH angle of elevation and angle of depression are placed in the lower corner of the triangle. Don't let the names confuse you!
Now you can use trigonometry to solve ....
In the given problem, we have the side OPPOSITE of the given angle (24°) and need the side ADJACENT to the angle, so we will use tan to solve for x.

add up the total amount of fish there are all together at the initial date that would be 650 now add up 37 and 48 which is 85, now subtract that from 650 you will get 565 now multiply 5/7 by 650 to get 464 then subtract 464 from 565 to get 101 that's how many fish would need to be sold for there to be 5/7 of the store sold
Number of glass vases bought = x
Number of ceramic vases = y
Ben bought no more than 10 vases in all.
So total number of vases can be represented as:

Cost of one glass vase = $22
Cost of x glass vases = 22x
Cost of one ceramic vase = $14
Cost of y ceramic vases = 14y
Total cost of vases is more than $172
So the equation for cost is:

Answer:
So the system of inequalities that can be used are:


Answer:
(p+13)(p+1)
Step-by-step explanation:
p² + 14p + 13
we want to find two numbers that add to 14 and multiply to 13
we can start looking by listing the factors of 13
we get 13 and 1 and -13 and -1
13 and 1 multiply to 13 ( 13 × 1 = 13 ) and add to 14 ( 13 + 1 = 14 )
-13 and -1 multiply to 13 ( -13 × -1 = 13 ) and add to -14 ( -13 + -1 = -14 )
the two numbers that would add to 14 and multiply to 13 would be 13 and 1
now we can factor out the two numbers from 14 and split the p from p² to get (p+13)(p+1)
and we are done