A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a pili
1 answer:
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
So, the required distance is 225.16 feet.
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Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where is the the number of apples,
is the number of pears and
is the number of oranges:
1)
2)
3)
- You must substitute the equation 3) into the equation 2):
- Now, you need to solve for in the equation 1) and then you must substitute it into
:
- Solve for , as following:
- Therefore, there are 152 apples.