Answer:
35 m
Step-by-step explanation:
Answer:
-x - 4
Step-by-step explanation:
Answer:
a13=310.7
Step-by-step explanation:
Formula= an=a1r^n-1
a13=1100(0.9)13-1
a13=310.7
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²
What we need to find:
Area
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h
Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h
Now we can find area,
Area= l x w
= √18 x√2
=√36=6
Area=6
Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
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.
