A pedestal is 5.43 feet tall, and a statue is placed on top of it. A spotlight on the floor lights up the pedestal and statue. [a] The angle of elevation from the spotlight to the bottom of the statue is 57 degrees , and the angle of depression from the top of the statue to the spotlight is 71 degrees . How tall is the statue ? Your final answer must be an exact value (ie. do not use your calculator). Your final answer may involve fractions, radicals, angles and/or trigonometric functions and the decimal number given in the problem. HINT: You will need to calculate another quantity first. [b]Using your calculator, round the answer to [a] to 2 decimal places. [c] The pedestal is replaced with a pedestal of a different height, with the same statue placed on top of it. The spotlight is moved and tilted so that the angle of elevation from the spotlight to the bottom of the statue is now 41 degrees , and the angle of depression from the top of the statue to the spotlight is now 64 degrees . How tall is the new pedestal ? Your final answer must be an exact value (ie. do not use your calculator). Your final answer may involve fractions, radicals, angles and/or trigonometric functions and the decimal answer to [b].
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A pedestal is 5.43 feet tall, and a statue is placed on top of it. A spotlight on the floor lights up the pedestal and statue.
[a] The angle of elevation from the spotlight to the bottom of the statue is 57 degrees ,
and the angle of depression from the top of the statue to the spotlight is 71 degrees .
How tall is the statue ?
Your final answer must be an exact value (ie. do not use your calculator).
Your final answer may involve fractions, radicals, angles and/or trigonometric functions and the decimal number given in the problem.
HINT: You will need to calculate another quantity first.
[b]Using your calculator, round the answer to [a] to 2 decimal places.
[c] The pedestal is replaced with a pedestal of a different height, with the same statue placed on top of it.
The spotlight is moved and tilted so that the angle of elevation from the spotlight to the bottom of the statue is now 41 degrees ,
and the angle of depression from the top of the statue to the spotlight is now 64 degrees .
How tall is the new pedestal ?
Your final answer must be an exact value (ie. do not use your calculator).
Your final answer may involve fractions, radicals, angles and/or trigonometric functions and the decimal answer to [b].
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