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Triangle Trigonometry Problem Solving

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Solve right triangles, find altitude and sides of isosceles triangles, and calculate shadow lengths with trig functions. Determine the height of objects using angles of elevation.

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Triangle Trigonometry Problem Solving

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  1. 4.8 Notes • Solve the right triangle if; • A = 90°, a = 8, B = 37° A = 90°, c = 12, C = 62°10’37” Applications of Trig Functions

  2. 4.8 Notes (continued) • Find the length of the altitude and congruent sides of an isosceles triangle whose base is 6 units long and base angles are 38°.

  3. 4.8 Notes (continued) • A shadow of length L is created by a 325 foot tall building as the sun rises the shadow decreases in length. • Write an equation for the L in terms of θ ( the angle of elevation to the sun from the top of the building.

  4. 4.8 Notes (continued) • A flagpole sits atop of a building. You stand 100 feet from the base of the building and view the top of the building at an angle of elevation of 28° and the top of the flagpole at an angle of elevation of 39°45’. Find the height of the flagpole.

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