Trigonometry written questions

Question

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33∘ If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answer 1

75 feet long string on a kite, other end held 3.5 feet above ground. the string is at a 33 degree angle with the horizontal

construct a right triangle with hypotenuse = 75

height from 3.5 feet above ground to the kite is = 75sin33 = about 40.85

add 3.5 to get 44.35 feet