Question

The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degrees, how far is the boat from the shore?

Answer 1

Answer and Step-by-step explanation:

| \

| \

| \

| \

| \

100 ft. | \

| 2 \

|_________\

x

Use tangent to find the x.

tan(2) =
`(100)/(x)`

`x = (100)/(tan(2))`

Use a calculator to evaluate.

`x = (100)/(tan(2))` = 2863.6253

So, the boat is 2,863.63 feet from the shore.

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