Find the scale factor
2 answers:
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If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis. That means that the x axis is the major axis. Because of what the co-vertices are, the center of the ellipse is at the origin. The formula for an ellipse that has a horizontal major axis is 
. The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis. Here, its the x-axis. a is the distance that the outer edge of the ellipse is from the center. It's 8 units away from the center along the x axis and 3 units along the y axis from the center. So a = 8 and a^2 = 64; b = 3 and b^2 = 9. Our formula then is 
Answer:
- 15 m
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
