Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation 
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. 
And finally we have 
. We input to calculator.
See the attached picture below showing the shore with the boat out at sea and the position of the person.
Answer:
C
Step-by-step explanation:
You can rearrange the equation to make it: 4y=3x-2
The slope right now is 3,but that's not the answer
So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5
So from that you can see that the slope is 3/4, C
First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:
7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.
In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28) = 16.26°
the other acute angle = (90° - 16.26°) = 73.74°
In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹ (0.4706...) = 28.07°
the other acute angle = (90° - 28.07°) = 61.93°
I'm sorry, but just now, I don't know how to do the
third triangle in the question.
Answer:
Step-by-step explanation:
Given the expression: 
We can re-write the answer as:
The answer is irrational because the sum of a rational number and irrational number is an irrational number.
<u>The correct option is B.</u>
