Ryan was skiing at Snow Bowl, Arizona last winter. He was at the top of Sunset
Peak. He measured the angle
of depression to the bottom of the run
to be 14°. He read that the actual length
of the run
is 2675 feet. What is the change in altitude
to the bottom of the run?
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Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.
so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.
solving for the distance we get distance = 37 divided by the tangent of 37 degrees
Looking up the tangent of 15 degrees on google give .2679
dividing 137 by .2679=138,1 meters
Hope this helps Loringh PS Please leave a rating for me.