Juan and Romella are standing at the seashore 10 miles apart. Both can see same ship on the water. The angle between the coastline and Juan's line of ight to the ship measures 35 degrees. The angle between the coastline and Romella's line of sight to the ship measures 45 degrees. How far is the ship rom Juan? 35⁰ x 10 miles 100% 45°
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Answer:
We can use trigonometry to solve this problem. Let x be the distance between the ship and Juan.
Using the tangent function, we have:
tan 35° = opposite/adjacent
tan 35° = x/10
x = 10 tan 35°
x ≈ 6.17 miles
Similarly, let y be the distance between the ship and Romella.
Using the tangent function again, we have:
tan 45° = opposite/adjacent
tan 45° = y/10
y = 10 tan 45°
y = 10
Therefore, the ship is about 6.17 miles from Juan and 10 miles from Romella.
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