Solve each triangle using the information provided. If necessary, round to the nearest tenth.
1 answer:
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
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Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points
From these points we can find the slope of the line .
From point slope formula
And assigning and
This slope is also the speed of the bird which is
As by plugging the values of any coordinate point we can confirm this.
Lets put , y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.
Now as in the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are: and
The birds speed is per minute and is
away from its nest.