ashleydecollo
ashleydecollo ashleydecollo
  • 25-01-2021
  • Mathematics
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a lighthouse is located on an island 200 feet from the shore of the mainland as shown. If x=0.65, what is D?

please help ASAP

a lighthouse is located on an island 200 feet from the shore of the mainland as shown If x065 what is D please help ASAP class=

Respuesta :

fichoh
fichoh fichoh
  • 30-01-2021

Answer:

251.222 feets

Step-by-step explanation:

X = 0.65 rad

To degree ;

X = 37.24°

We need to obtain the height :

Using Sine rule :

(37. 24 + y + 90) = 180

y = 52.76

y / sin Y = D / sin D

200/ sin 52.76 = D / Sin 90

251.22231 = D / sin 90

251.22231 * sin 90 = D

Sin 90 = 1

D = 251.222 feets

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