SOLUTION: The angle of elevation of point Q from point P is given as 40.2°, PQ=26.7m. How high is point Q above the level of point P?

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Question 1200432: The angle of elevation of point Q from point
P is given as 40.2°, PQ=26.7m. How high
is point Q above the level of point P?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The angle of elevation of point Q from point
P is given as 40.2°, PQ=26.7m. How high
is point Q above the level of point P?
~~~~~~~~~~~~~~~~

Make a sketch if you need it.


Let x be "How high is point Q above the level of point P", 
i.e. the value under the problem's question.


You have a right-angled triangle.
PQ = 26.7 meters is its hypotenuse;
The angle of elevation of 40.2° is the opposite angle to leg x,
so you can write

    sin(40.2°) = x%2F26.7,

based on the definition of sine. From this equation

    x = 26.7*sin(40.2°).


Use your calculator and complete this assignment on your own.

Happy calculations (!)