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PC 11 CH2 Challenge Problems



The following quiz is a list of some of the most challenging problems that require the use of the Sine Law and Cosine Law.
 

 1. 

Given the following diagram, what is the value of angle “x”?
Give your answer as a degree to one decimal place
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 2. 

What is the value of the smallest angle in this triangle?  Give your answer in degrees with one decimal place.
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 3. 

What is the perimeter of quadrilateral ABCD:
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 4. 

Find the area of triangle QPS:  Give your answer to one decimal place
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 5. 

What is the height of the tower?
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 6. 

In triangle PQR, angle “P” is 38 deg., side “p” is 11cm long, side ‘q’ is 15cm long, and angle “Q” is an obtuse angle.  Find the degree value of angle “R”

 

 7. 

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 8. 

Given the following isosceles triangle, find the value of “x”
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 9. 

Find the length of side CD:
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