Question

The angle of depression from a boat to a fish swimming inside the lake is 60°. The fish is 17√3 m below the surface. How far is the fish from the boat?​

Answer 1

Answer:

The fish is 17m away from the boat.

Step-by-step explanation:

let's take the point on the water where the boat touches be A.

let's take the point underwater right below the water where the fish's axis and boat's axis meet as B.

let's take the point where the fish is C.

The depth of fish in the water = 17√3m

Angle C = 60° (alternative angle)

so by using tan we get the equation,

$17 \sqrt{3 } \div x = \tan(60)$

$17 \sqrt{3} \div x = \sqrt{3}$

$x = 17m$

Hence solved