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SOH CAH TOA Right-angled trigonometry Name: ___________________________ 1 Find the unknown angles. Round your answer to the nearest degree. (a) tan 9.5144, (b) sin 0.9945, (c) cos 0.8862, 2 Evaluate each of the following, correct to the nearest degree. (a) sin 1 0.3907 (b) tan 1 1.4181 (c) cos 1 0.4812 3 Find the value of correct to the nearest degree. 4 Find the value of correct to the nearest degreee. SOH CAH TOA SOH CAH TOA 5 Find the value of correct to the nearest degree. 6 From the top of a tower 45.3 m high, Terry could see his campsite at an angle of depression of 33. How far is the campsite from the tower? 7 At what angle of elevation must a 5.2 m ladder be placed to reach a vertical height of 3.8 m on a wall? Give your answer correct to the nearest degree. 8 A boat is anchored by 38 m of cable that is inclined at 51 to vertical. What is the depth of the water (to the nearest metre)? 9 Brendan was in a boat observing a lighthouse on a vertical cliff at an angle of elevation of 54. The cliff was 94 m high. Calculate the horizontal distance from Brendan to the base of the cliff. 10 Two buildings are 80 m and 115 m high. Bill, standing on the taller building, could see Ben on the smaller building at an angle of depression of 19. How far apart are the buildings? SOH CAH TOA