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VARVARA [1.3K]
3 years ago
11

Math mate problem

Mathematics
1 answer:
eduard3 years ago
7 0
You will buy 94 cockroaches at most and 1 cockroach at least

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Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle
Nina [5.8K]
The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as x.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
cos(59)= \frac{19}{h}
h= \frac{19}{cos(59)}
h=36.9
Now we can use the law of sines to find the distance x between Paul and Jose:
\frac{sin(43)}{36.9} = \frac{sin(16)}{x}
x= \frac{36.9sin(16)}{sin(43)}
x=14.9

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
19m+14.9=33.9m

We can conclude that Jose is 33.9m from the base of the tree.

3 0
3 years ago
Calculate the distance between the points (-6, 4) and (5, -1). Round to the nearest tenth.
ludmilkaskok [199]
It will be 42 because of the with times the 2nd highest
4 0
3 years ago
How do I solve for x
alexira [117]

Answer:

USE INVERSE OPERATION

Step-by-step explanation:

3 0
3 years ago
3(m - n + 2) + 6 - m​
julia-pushkina [17]

Step-by-step explanation:

8 0
2 years ago
One angle of an isosceles triangle measures 62º. Which other angles could be in that
oee [108]

Answer:

62 and 56   or    59 and 59

Step-by-step explanation:

62, 62, 56

or

62, 59, 59

8 0
3 years ago
Read 2 more answers
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