Answer:
The 51.39 feet far is the boat from the lighthouse .
Step-by-step explanation:
Now by using the trignometric identity.
[tex]cot\theta = \frac{Base}{Perpendicular}[/tex]
As given
The angle of depression from the top of a lighthouse to a boat in the water is 30°.
If the lighthouse is 89 feet tall .
As shown in the figure given below.
[tex]\theta = 30^{\circ}[/tex]
Base = AC = 89 feet
Perpendicular = CB
Put in the identity .
[tex]cot 30^{\circ} = \frac{89}{CB}[/tex]
[tex]cot\ 30^{\circ} = 1.732[/tex]
Put in the above
[tex]CB= \frac{89}{1.732}[/tex]
CB = 51.39 feet (Approx)
Therefore the 51.39 feet far is the boat from the lighthouse .
Answer:
if ur doing usa test prep it’s B) 51 feet
Step-by-step explanation:
