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scientist can measure the depths of crayers on the moon by looking at pictures of the shadows. the length of the shadow cast by edge is 500 meters. the angle of elevation of the rays of the Sun is 55 degrees estimate the depth of the crater

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fahadisahadam

Answer:[tex]d=714 meters[/tex]

Explanation:

Tita: [tex]tita= 55 degrees[/tex]

depth of the crater: d= ?

length of the shadow cast by edge: [tex] l= 500 meters[/tex]

[tex]opposite/adjacent = tan tita[/tex]

[tex]d/500=tan55degrees[/tex]

cross multiply

[tex]d=tan55 degrees *500[/tex]

[tex]d=1.4281*500[/tex]

[tex]d=714 meters[/tex]

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