Question

Matthew parks his car between Karen and Patrick’s apartment buildings. The car is 46 m in front of Patrick’s apartment building. The angle of elevation from the car to the top of Patrick’s building is 40°. Matthew’s car is 39 m behind Karen’s apartment building. The angle of elevation from the car to the top of Karen’s building is 50°. how tall is patrick's apartment

Answer 1

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a. 85 (?)

b. 39 meters

¸,ø¤º°`°º¤ø Explanation ¸,ø¤º°`°º¤ø

tan40° = k/46

46(tan40°) = k

38.5986.. = k

39 = k

Karen's Building is 39 meters tall.

tan50° = p/39

39(tan50°) = p

46.4784.. = p

46 m = p

Patrick's building is 46 meters tall.

39 + 46 = 85 meters

Both buildings are 85 meters apart.