Question

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

Answer 1

251.222 feets

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