Which type of equation can be used to model the data in the table below?
1 answer:
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Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
Answer:
These kind of problems are super difficult Anna, don't feel bad for not getting this. there is a bunch of "implied" ideas here... i'll go over them below, maybe it will seem a bit easier. if not, ask some more questions in the comments of this problem , I'll see the comments and answer your question
Step-by-step explanation:
the 1st implied idea is that there is 360 ° in a circle
next you have to know, that the angle x is also matched on the interior of the circle where the line of the angle x, first touches the circle. if that is confusing , don't worry i'll make a rough drawing to show you.
so we can know that the arc from the point where the angle x makes the tanget.. or just touches the circle to where it's other leg crosses the circle the 1st time, that's angle is equal to the arc that is left over from the total circle. see this is very "implied" nobody said.. by the way... it's 360 ° minus the other arcs.. well.. I just did.. but you had to come up with that on your own, before I said that.
x = left over arc
360 = 200 + 40 + x
120 = x
