Mathematics: Alighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship. if the keeper is 19 m above water, how far is the ship from the base of the lighthouse?

Alighthouse keeper has a 10 degrees angle of depression

Ответ:

AdoNice

15.03.2022

107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
$tan \theta = \frac{opp}{adj}$
plus in values, we know.
$tan (10) = \frac{19}{x}$
switch tan(10) and x using the products property.
$x = \frac{19}{tan (10)}$
plug in to calulator to get answer
x=107.75

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Ответ:

jamesk5671

31.12.2020

Mathematics

A number increased by one multiplied by two.

Two distributed into a number and one.

Step-by-step explanation:

First one is way more likely.

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Alighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship. if the keeper is 19 m above water, how far is the ship from the base of the lighthouse?

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