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Unformatted text preview: L29 Solving Right Triangles α c b β
a α + β = 90° a 2 + b2 = c2 Example: If a = 3 and b = 5 , find c, α , and β . Round
your answers to one decimal place. 354 Example: If a = 2 and β = 20° , find b , c , and α . Round
your answers to one decimal place. The acute angle measured from horizontal to lineofsight
observation of the object is called the
angle of elevation or
angle of depression 355 Example: Find the height of the mountain if the angle of
elevation to the top is 43 ° and then changes to 32 ° when
the surveyor moves 750 ft. father away.
summit 356 Example: A helicopter hovers 800 ft. above a small
island off the Florida coast. The pilot takes a sighting to a
point P on the edge of the mainland. If the angle of
depression is 35 ° , how far off the coast is the island? Island P 357 Example: What is the angle of elevation of the sun when
a 35 ft. mast casts a 20 ft. shadow? 358 Example: A tunnel for a new highway is to be cut
through a mountain that is 260 feet high. At a distance
200 feet from the base of the mountain the angle of
elevation is 36 ° . From a distance of 150 feet on the other
side, the angle of elevation is 47 ° . Approximate the
length of the tunnel to the nearest foot. 359 Example: An aerial photographer who photographs farm
properties for a real estate company has determined that
the best photo is taken at a height of 475 feet and at a
distance (from the airplane to the house) of 850 feet.
What is the angle of depression from the plane to the
house? 360 Example: A new teeshirt design is to have a regular
pentagon inscribed in a circle. Each side of the pentagon
is to be 3.5 in. long. Find the radius of circumscribed
circle. 361 ...
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.
 Summer '08
 GERMAN
 Calculus, Angles

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