mac1147_lecture29_1_c

mac1147_lecture29_1_c - L29 Solving Right Triangles α c b...

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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 line-of-sight 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 tee-shirt 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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mac1147_lecture29_1_c - L29 Solving Right Triangles α c b...

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