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Question is down below. Please state the Claim, Evidence and reasoning to why the answer is correct.

Question is down below. Please state the Claim, Evidence and reasoning to why the-example-1
User Ramon Crehuet
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1 Answer

8 votes
8 votes

the distance the ship travelled from point A to D is 582 ft

Step-by-step explanation:

To dtermine the distance from point A to D, we need to find the distance from point A to C and distance from point C to D

To get the distance from point C to D, we will consider triangle BCD:

opposite = 125 ft

DC = ?

angle = 16°

To get DC (adjacent), we will use tan ratio:


\begin{gathered} \tan \text{ 16}\degree\text{ = }(opposite)/(adjacent) \\ \tan \text{ 16}\degree\text{= }(125)/(DC) \\ DC(\tan \text{ 16}\degree)\text{ = 125} \\ DC\text{ = }\frac{125}{\tan\text{ 16}\degree} \\ DC\text{ = }435.93\text{ ft} \end{gathered}

To get the distance from point A to C, we will consider triangle ABC:

opposite = 125 ft

AC = ?

angle = 7°

To get AC (adjacent), we will use tan ratio:


\begin{gathered} \tan \text{ 7}\degree\text{ = }(opposite)/(adjacent) \\ \tan \text{ 7}\degree\text{= }(125)/(AC) \\ AC(\tan \text{ 7}\degree)\text{ = 125} \\ AC\text{ = }\frac{125}{\tan\text{ 7}\degree} \\ AC\text{ = }1018.04\text{ ft} \end{gathered}

Distance AC = Distance DC + Distance AD


\begin{gathered} 1018.04\text{ = 435.93 + Distance AD} \\ \text{Distance AD = 1018.04 - 435.93} \\ \text{Distance AD = 582.11 ft} \end{gathered}

The distance the ship travelled from point A to D = Distance AD

To the nearest foot, the distance the ship travelled from point A to D is 582 ft

User JSchaefer
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