Matt is standing on top of a cliff 305 feet above a lake the measurement of the angle of depression to a boat on the lake is 42
degree .how far is the boat from the base of the cliff
1 answer:
Answer:
The boat is approximately 338.74 feet from the base of the cliff. If the problem suggests rounding to the nearest whole number, you should use 339 ft.
Step-by-step explanation:
Let's draw the right angle triangle associated with the problem (see attached image). Notice that the 305 ft height corresponds to the "opposite side" to the given acute angle of , and that the distance we need to find is the "adjacent" side to the given acute angle. Therefore, the appropriate trigonometric function to use is the "tangent", given that from it we can solve for the unknown adjacent side "x":
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Answer:
There were 16 ounces of Cat Food after 24 days.
Step-by-step explanation:
From the graph attached,
For an ordered pair (x, y) lying on the graph,
x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.
Now the value x = 24 on x-axis shows the number of days since the bag was bought.
For x = 24, ounces of cat food in the bag ( y ) = 16 ounce
Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.
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The odds of drawing an even chip are .
The odds of drawing an odd chip are .
You multiply the two .
Knowing you cannot simplify 6/25 any further, you now have your answer!
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Answer:
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace with
and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since , you can simplify it: