Question

You go to the park on a windy day to fly a kite. The string makes an angle of 36° with

the ground and is 43 feet in the air. How long is the string? Round to the nearest tenth.
a. 23.5 b. 73.2 c.31.2 d.53.2

Answer 1

b.

Explanation:

α=36∘ β=90 ∘ α+β+γ = 180∘ γ = 180∘ −α−β = 180∘ −36∘ −90∘ = 54∘

a=43

a b = sinα sinβ b=a⋅ sinα sinβ b=43⋅ sin36 ∘

sin90∘ =73.16

a c = sinα sinγ c=a⋅ sinα sinγ c=43⋅ sin36 ∘ sin54 ∘ =59.18

a=43

b=73.16

c=59.18