A boat is sailing due east parallel to the shoreline at a speed of 11 miles per hour. At a given time, the bearing to a lighthouse is S 70° E, and 30 minutes later, the bearing is S 63° E (see figure). The lighthouse is located at the shoreline. Find the distance d from the boat to the shoreline. (Round your answer to one decimal place.)

Please give me a drawing so I can see what it looks like PLEASE

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arushjain1030 arushjain1030

30-03-2022
Mathematics

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A boat is sailing due east parallel to the shoreline at a speed of 11 miles per hour. At a given time, the bearing to a lighthouse is S 70° E, and 30 minutes later, the bearing is S 63° E (see figure). The lighthouse is located at the shoreline. Find the distance d from the boat to the shoreline. (Round your answer to one decimal place.)

Please give me a drawing so I can see what it looks like PLEASE

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-04-04T12:20:22+02:00

For a boat is sailing east parallel to the shoreline at a speed of 11 miles per hour, the distance from the boat to the shoreline. is mathematically given as

d = 7miles

What is the distance from the boat to the shoreline?

Generally, the equation for the law of sines is mathematically given as

sina/A=sin b/B

Where , distance from the shoreline is

d= 11* 30/60

d= 5.5 mile

Therefore

5.5/ sin 7 = x / sin 153

x = 20.4887

cos 70 = d / 20.4887

d = 7niles

In conclusion, The distance is

d = 7miles