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The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
2(sin 40°)
sin 40°/2
2(tan 40)
tan 40°/2

The sail of a boat is in the shape of a right triangle Which expression shows the height in meters of the sail 2sin 40 sin 402 2tan 40 tan 402 class=

Respuesta :

fatimunir24

Answer:

tan = opposite / adjacent

Step-by-step explanation:

opposite is rhe height we have to find

adjacent is 2

angle is 40

so to find the height

adjacent x tan(angle)

2(tan40)

ashishdwivedilVT

The height of the boat comes to be 2(tan40°).

In the given right triangle

The Angle of inclination = 40°

Adjacent side to the angle of inclination = 2m

What is the tangent of an angle?

The tangent of an angle is the ratio of the opposite side to the adjacent side.

Suppose the height of the boat is h

The Opposite side of given right triangle = h

Adjacent side of given right triangle =2

So, [tex]tan40\degree= \frac{h}{2}[/tex]

So, h =2(tan40°)

Therefore, the height of the boat comes to be 2(tan40°).

To get more about trigonometric ratios visit:

https://brainly.com/question/24349828

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