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:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= 
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ 
cross multiplying
⇒ 
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= 
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Answer:
rate of change = 1.5 dollars per mile
Step-by-step explanation:
cost for travelling 1 mile = 3.75
cost 2 miles = 5.25
cost 3 miles = 6.75
cost 4 miles = 8.25
Answer:
t = 8
Step-by-step explanation:
Step-by-step explanation:
2.5<x<8.0???????????
