Please, show all your work. Knowledge/Understanding 1. Based on the following diagram use the values given to find the missing/indicated side. 42 m 15° b 2. Use the Sine Law to find the unknown sides (b and c). Round your answers to the nearest tenth of a km. 19 km 34° A 65 3. Use the Cosine Law to find the side length a. 52 44 cm 28 cm B a

Q: 3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery…

A: Given the angle of depression is 33 Let the height of the balloon above the valley floor is x ft.

Q: 58. A runner leaves the starting point of a race and heads N10°W at 6.3 mph. After running for 20…

A: The speed of the runner at N10°W is 6.3 mph.  The runner speed for 3 more miles is 6.8 mph. The…

Q: Katie is flying a kite with 65 meters of string. If the kite forms a 32 at Katie's hand. How high is…

A: We have to calculate height of the kite.

Q: Question 10 Determine the measure of the indicated angle or arc. Only type the number of your…

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Q: 10 feet

A: Cosx=base/hypotenuse

Q: 39 This diagram shows circle L, central angle XLY, and some of their measurements. 6 in. X L 120°

A: We know formula for the sector area is  θ3600πr2 where θ is sector angle, r is radius of the circle.

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A = B = C= O

A: The given triangle isSo,

Q: Step 3 Take the square root of both sides. Round your answer to one decimal place. a2 x 4864.54 a z…

A: Law of sines,sin(A)a=sin(B)b=sin(C)c

Q: The side lengths of any triangle are related by the Law of Cosines, the formula shown below. c²=a² +…

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Q: After the bird strike the plane continued to climb approximately 280 feet at a 4° angle of ascent.…

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