For this case, the first thing you should do is use the distance between points formula.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
d = 20.1246118
Rounding off we have:
d = 20 units
Answer:
The distance, to the nearest unit, between your house and the subway stop is:
B. 20
<h2>
Answer:</h2>
<h2>
Explanation:</h2>
<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 
, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:
Finally, the height is:
Answer:
The answer to your question is:
7.- y = 6 units
8.- a = 10.6 in
9.- 41.6 ft
Step-by-step explanation:
7.- That is a right triangle and the hypotenuse is y.
Use the pythagorean theorem to find y.
y² = (3√2)² + (3√2)²
y² = 9(2) + 9(2)
y² = 18 +18
y² = 36
y = 6 units
8.-
hypotenuse = 15 in
c² = a² + b²
a = b so
c² = a² + a²
c² = 2a²
c² / 2 = a²
a² = 15² / 2
a² = 112.5
a = 10.6 in
9.-
Use trygonometry to solve this triangle
height = 36 feet
sin Ф = 36 / hypotenuse
hypotenuse = 36 / sin Ф
hypotenuse = 36 / sin60
hypotenuse = 36 / 0.86
hypotenuse = 41.6 ft
