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Wolfzbayne
15.10.2020 •
Mathematics
From the top of a lighthouse 190 ft high, the angle of depression of a
boat out at sea is 34º.
Find the distance from the boat to the foot of the lighthouse to the
nearest tenth of a foot.
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Ответ:
Step-by-step explanation:
= 412
feet
Explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90
°
−
27
°
=
63
°
The distance to the boat is the side opposite the angle of
63
°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=
tan
63
°
distance
210
=
tan
63
°
distance
=
210
×
tan
63
°
=
412
feet
Ответ:
10/25=x/150
x=60
so 60 students
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