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:
$1000 ; 500 ; 1000 ; y = 500x + 1000
Step-by-step explanation:
From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.
The slope :
x1 = 0 ; y1 = 1000
x2 = 6 ; y2 = 4000
Slope = Rise / Run
Rise = y2 - y1 = 4000 - 1000 = 3000
Run = x2 - x1 = 6 - 0 = 6
Hence,
Slope = 3000 / 6
Slope = 500
y - intercept = 1000 (from. Graph)
Equation in slope intercept form:
General form : y = mx + c
m = slope ; c = intercept
Equation is written as ;
y = 500x + 1000
Answer:
6.8181818
Step-by-step explanation:
Answer:
37.68
Step-by-step explanation:
Circumference = Diameter x pi
Diameter = 12 feet
12 x 3.14 = 37.68
The circumference of the pool is 37.68 feet.
Use Pythagoras theorem. (a^2 + b^2 = c^2)
300^2+300^2 = 180000
√180000 = 424.3
The answer is 424 foot.
Hope this helps.