Question about Super Tutor Trigonometry (ESDTRIG) for PC

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?

Given AC = 2675 feet

ð XAC= 14 degree

Therefore ð ACB = 14

Now Sin C= AB/AC

AB = AC . Sin C

AB = 2675 * Sin 14 feet

AB = 2675 * 0.241922 feet

AB = 647.1411 feet

Posted on Jan 10, 2009

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Posted on Jan 02, 2017

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Feb 11, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

ð XAC = ð ACB (Angle of elevation= Angle of depression)

AB = 5 Yards

BC = ?

Now Tan C= AB/BC

BC = AB/ Tan C

BC = 5 / Tan 28 Yards

BC = 5/.531709 Yards

BC = 9.403632 Yards

AB = 5 Yards

BC = ?

Now Tan C= AB/BC

BC = AB/ Tan C

BC = 5 / Tan 28 Yards

BC = 5/.531709 Yards

BC = 9.403632 Yards

Jan 02, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

Hi Jehho soria

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.

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.

Nov 14, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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