Jack and Jill got tired of falling down that hill with a pail of water and decided to try flying a kite instead. Jack is holding the kite string, and Jill is standing directly under the kite. The kite string forms a 61° angle with the line of sight between Jack and Jill, who are the same height. The two BFFs are standing 12 yards apart. How long is the kite string?

(this is Geometry, Trigonometric Ratios)

Question

Mathematics

Zechariah Acevedo

24 May, 06:05

Jack and Jill got tired of falling down that hill with a pail of water and decided to try flying a kite instead. Jack is holding the kite string, and Jill is standing directly under the kite. The kite string forms a 61° angle with the line of sight between Jack and Jill, who are the same height. The two BFFs are standing 12 yards apart. How long is the kite string?

(this is Geometry, Trigonometric Ratios)

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Answers (1)

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Aniya · Answer 1

Because Jill is standing directly under the kite the angle between jack Jill and the kite is 90°

so

a=12 yards

A°=61°

B°=90°

b=?

to find b we have a formula:

a devided by the sinus of A equals b devided by the sinus of B

12:sin (61°) = b:sin (90°)

12:0.8=b:1

15=b