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Image of Angle of Elevation and Depression

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Image of Angle of Elevation and Depression

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https://www.mathsisfun.com/geometry/images/angle-elevation.gif

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https://www.youtube.com/watch?v=D4zfFPPdFQM

This video explains how to construct a dilation with a scale factor of two.

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Find the midpoint of (1,6) (9,2)

(x1+x2/2, y1+y2/2)
1+9/2, 6+2/2
midpoint= (5,4)

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Sin- sine
Cos- cosine
Tan- tangent

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(x1+x2/2, y1+y2/2)

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Use the inverse of sin, cos or tan

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congruent to the angle of elevation (this assumes the object is close enough to the observer so that the horizontals for the observer and the object are effectively parallel; this would not be the case for an astronaut in orbit around the earth observing an object on the ground).

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angle between the horizontal and the line from the object to the observer's eye (the line of sight).

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soh- sin opposite hypotenuse
cah- cos adjacent hypotenuse
toa- tan adjacent opposite

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the study of ratios of a triangle and related all similar triangles(right triangles only)
Helpful to:
-find a missing side given side and angle
-find a missing angle given 2 sides

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-180 degrees in a triangle
-360 degrees in a quadrilateral
-supplementary=180 degrees
-corresponding= congruent
-complementary= 90 degrees
-vertical= congruent

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-pythagorean theorem-a2+b2=c2
-proportional sides

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-congruent corresponding angles
-proportional sides(scale factor)
-defined by dilations

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-center of dilation
-scale factor: how many times being duplicated