Mathematics: Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. the angle between them 30°. what i the approximate distance between the swing and the slide? a: 24 feet b: 50 feetc: 148 feetd: 161 feet

Just claimin my points dude sryStep-by-step explanation:...

Sitting on a park bench, you see a swing that is - id10485477, iamsecond235p318rq

laylay1548

11.03.2022

B: 50 feet

Step-by-step explanation:

Let A represents the location of the swing, B represents the location of bench and C represents the position of slide,

According to the question,

AB = 100 ft,

BC = 80 ft,

m∠ABC = 30°,

By the cosine law,

$AC^2=AB^2+BC^2-2\times AB\times BC\times cos 30^{\circ}$

$=100^2+80^2-2\times 100\times 80\times \frac{\sqrt{3}}{2}$

$=10000+6400-8000\sqrt{3}$

=2543.59353945

$\implies AC=50.434051388\approx 50$

Hence, the approximately distance between the swing and the slide is 50 ft.

Option 'B' is correct.

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