Trigonometry Assignment
Assignment 14
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1. Determine the length of side "x" in the triangle below. Round your answer to 2-decimal places
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2. Provided ∠C=40.75°, ∠A=44.91° and b=7.76 then determine the value of a?
3. Provided ∠C=51.85°, c=30.97 and b=17.65 then determine the value of side a? Round your final answer to 2 decimal places.
4. Both cases of the ambiguous triangle are shown below, answer the questions that correspond to each case Round all answers to 2-decimal places, where needed
c =
c =
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5. Determine the length of the remaining side in the triangle shown below. Round your answer to 2-decimal places
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6. Given △ABC, with side a=37cm and side b=22 cm and side c=27 cm, solve for all angles.
Round your answer to one decimal place.
∠A=
∠B=
∠C=
7. Two trucks leave a terminal and travel along roads which differ in direction by 79o.
Their speeds are 65 km/h and 80 km/h respectively.
How far apart are the trucks after 30 minutes?
Round your answer to 2 decimal places.
Distance apart in km =
8. Two fire lookout towers, A and B, are located 3.5 km apart on a straight road. A fire was observed from both towers. From A, the angle formed between the road and the fire was measured to be 41.5 degrees. From B, the angle formed between the road and the fire was measured to be 60 degrees. Find the distance between tower A and the fire. Round your answer to 1 decimal place
Distance in km =
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9. A blimp is located between two donkeys. As shown below, the angle of depression to the nearest donkey is 55° and the angle of depression to the other donkey is 22°. Provided the donkeys are 180 yd apart determine the height of the blimp. Round your answer to 2-decimal places
Number =
Units =