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Scientists measure the depths of lunar craters by measuring the shadow length cast by the edge of the crater on photographs. The length of the shadow cast by the edge of the moltke crater is about 606m, given to the nearest metre. The sun's angle of elevation "at the time the photograph was taken" is 65 degrees. Find the depth of the crater. State your answer rounded to the nearest metre.

 Jul 16, 2019

Best Answer 

 #1
avatar+19797 
+2

The shadow length is the 'base' leg of a right triangle.

    the angle between 'base' and the hypotenuse is 65 degrees

The Tan of the 65 degree angle = opp / adj  = height / base                (height and depth are the same in this example)

 

tan 65 = height / base

 

base tan 65 = height    =  606*tan(65) = 606*tan(65) = 1299.57119382906 ~~ 1300 m

 Jul 16, 2019
edited by ElectricPavlov  Jul 16, 2019
 #1
avatar+19797 
+2
Best Answer

The shadow length is the 'base' leg of a right triangle.

    the angle between 'base' and the hypotenuse is 65 degrees

The Tan of the 65 degree angle = opp / adj  = height / base                (height and depth are the same in this example)

 

tan 65 = height / base

 

base tan 65 = height    =  606*tan(65) = 606*tan(65) = 1299.57119382906 ~~ 1300 m

ElectricPavlov Jul 16, 2019
edited by ElectricPavlov  Jul 16, 2019

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