A pilot is flying at 29,000 ft. The airport spots him with an angle of elevation
ID: 3026297 • Letter: A
Question
A pilot is flying at 29,000 ft. The airport spots him with an angle of elevation of 34 degree. Find the horizontal distance the airport. Tom sees a volcano bearing N 77 degree E. Sally is 8.2 miles directly east of Tom and spots the same volcano bearing 347 degree. How far is the volcano from Tom? A squirrel in a tree spots an acorn with an angle of depression of 59 degree. He plans to jump from a tree over a lave flow to get the acorn. A rival squirrel moves the acorn 16 ft further away from the tree. It is now at an angle of depression of 32 degree. How high is squirrel in the tree before he jumps?Explanation / Answer
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20)
the diagram is correct
tan(34o) = 29,000/ x
x = 29000 / tan(34o)
x = 42994.27ft
21)
The digram is incorrect, the angle which is marked in the diagram 77 is actually 13 (angle in front of the side created by sally and volcano), and the angle which is marked in the diagram as 13 is actually 77.
It is still a right angled triangle.
sin(77o) = x / 8.2
x = sin(77o) x 8.2 miles
x = 7.9898 miles ~ 8.0 miles
(answer calculated and mentioned in the paper is incorrect)
22)
The question is wrong. The angle of depression will increase if the acorn is moved away from the tree.
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