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Trigonometry
Question

Oscar and Rasheed are identical twins. They are bo...

Oscar and Rasheed are identical twins. They are both \( 6 \) feet tall. They are on opposite sides of a ditch that is \( 30 \) feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line of sight makes a \( 75 ^ { \circ } \) angle below the horizontal. When Rasheed looks at Earl, his line of sight makes a \( 40 ^ { \circ } \) angle below horizontal. Earl has walked \( 1 / s \) of the way across the ditch. How deep is the ditch? 

Answer

30÷cos75=115.91

Solution
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