Answer:
524.5 feet
Step-by-step explanation:
Given: Height of cliff= 200 ft
Angle of depression at sail boat is 42°
Angle of depression at yacht is 15°
Lets assume distance sailboat from the bottom of cliff is ""
And assume distance yacht from the bottom of cliff is ""
Now using tangent rule to solve it.
we know,
Distance sailboat from the bottom of cliff;
Using trignometry table to know the value of tan 42°
⇒
cross multiplying both side.
⇒
∴ Distance sailboat from the bottom of cliff (= 222 feet
Distance yatch from the bottom of cliff;
Using trignometry table to know the value of tan 15°
⇒
cross multiplying both side.
⇒
∴Distance yacht from the bottom of cliff = 746.5 feet.
Next, finding the distance between sailboat and yacht.
Distance between sailboat and yacht =
⇒ Distance between sailboat and yacht=
∴ Distance between sailboat and yacht is 524.5 feet.