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Precalculus 8.1 Right Triangle Trigonometry; Applications Objective: able to find the exact value of trigonometric functions of acute angles using right triangles; use complementary angle theorem; solve right triangles; solve applied problems Express the six trigonometric functions of an acute angel of a right triangle as the ratio of the sides of the right triangle. Theorem: Cofunctions of complementary angles are equal 1. Find the exact value of tan 12˚ – cot 78˚ without using a calculator. m∠B = 20° , and b = 5, solve the triangle. Round 2. Given a right triangle ABC with m∠C = 90° , angle measures to the nearest tenth and side lengths to the nearest hundredths. 3. Given a right triangle ABC with m∠C = 90° , a = 2, and b = 8, solve the triangle. Round angle measures to the nearest tenth and side lengths to the nearest hundredths. What are angle of elevation and angle of depression? 4. A ship, offshore from a vertical cliff known to be 100 feet in height, takes a sighting of the top of the cliff. The angle of elevation is found to be 25˚. How far offshore is the ship? In navigation and surveying, the direction or bearing from a point O to a point P equals the acute angle between the ray OP and the vertical line through O, the north-south line. 5. A ship leaves the port of Miami with a bearing of S80˚E and a speed of 15 knots. After 1 hour, the ship turns 90˚ toward the south. After 2 hours, maintaining the same speed, what is the bearing to the ship from port? Rate yourself on how well you understood this lesson. I don’t get it at all I sort of get it I understand most of it but I need more practice I understand it pretty well I got it! 1 2 3 4 5 What do you still need to work on?