Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
Add an Answer
More Questions From This User See All
Answers & Comments
Answer:
Standing on a cliff 380 meters above the sea. Pat sees an approaching ship and measures its angle of depression obtaining 9 degrees. How far from shore is the ship?
• Solution:
\begin{gathered} \tt tan \: \theta = \frac{opposite}{adjacent} \\ \end{gathered}
tanθ=
adjacent
opposite
\begin{gathered} \tt tan \: 9 {}^{o} = \frac{x}{380 \: m} \\ \end{gathered}
tan9
o
=
380m
x
\begin{gathered} \tt tan \: 9 {}^{o}(380 \: m) = x \\ \end{gathered}
tan9
o
(380m)=x
\begin{gathered} \tt x = 60.19 \: m\\ \end{gathered}
x=60.19m
• Answer:
The ship is 60.19 meters away from the shore.
Step-by-step explanation:
HOPE IT HELPS
KEEP SAFE!
FOLLOW FOLLOW FOR MORE ANSWERS