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SOVA2 [1]
3 years ago
12

Help me please will give brainliest

Mathematics
2 answers:
amid [387]3 years ago
4 0

Answer:0.4

Step-by-step explanation:

iris [78.8K]3 years ago
4 0

Answer:

0.4

Step-by-step explanation:

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Answer:

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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
otez555 [7]

Answer:

Distance covered by the boat was 446.27 feet

Step-by-step explanation:

A boat which is at the point C approaching the light house.

At point C angle of depression to the boat was 17°44' and when boat stops at point B angle of depression was 48°13'.

Length of the tower is 200 feet then distance DC traveled by the boat.

Since at point B angle of depression was 17°44' so we will convert the angle in degrees.

Angle of depression = ∠ACB = 17°44' = 17+\frac{44}{60}=17+0.73=17.73

From ΔABC

tan 17.73° = \frac{200}{BC}

0.320=\frac{200}{BC}

BC=\frac{200}{0.32}= 625 feet

Now in ΔABD

∠ADB = 48°13' = 48° + \frac{13}{60}=48 + 0.217 = 48.217°

Now tan(48.217)=\frac{200}{BD}

BD=\frac{200}{1.119}=178.73 feet

Therefore distance DC = BC - BD

DC = 625 - 178.73 = 446.27 feet

So the answer is 446.27 feet was distance covered by the boat.

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