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HELP ONE MORE ANSWER PLEASEEEEE

HELP ONE MORE ANSWER PLEASEEEEE-example-1

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Answer:

The length of the rope between the boat and the dock is of 30 feet.

Explanation:

Given:

tan(40) ≈ 0.839

Angle of depression = 40 (deg)

Distance between boat and the floor of the ocean = 25.17 feet

If we look into the diagram we can see that,they form 2 right angled triangle.

Where we can say that :

Distance between boat and dock = Rope's distance = Base of the triangle.

Let the length of the rope be 'x' feet.

Considering the dotted triangle:


tan\ (40) =(opposite)/(adjacent)


tan\ (40) =(25.17)/(x)


tan\ (40)* x =(25.17)/(x)* x


tan\ (40)* x =25.17


(tan\ (40)* x)/(tan\ (40)) =(25.17)/(tan\ (40))


x =(25.17)/(0.839)


x= 30

Length of the rope between the boat and the dock is 'x' = 30 feet.

HELP ONE MORE ANSWER PLEASEEEEE-example-1
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