In a water park, people walk up a ramp before diving into the water below. If they cover a horizontal distance of 100 meters before diving down 50 meters, what is the angle made by the ramp with the ground?

Respuesta :

tan Theta = 50/100 
Theta = 26.6 degrees

Answer:

[tex]\theta = 26.56 degree[/tex]

Explanation:

As we know that the height by which diver is jumped down is given as

[tex]H = 50 m[/tex]

also the horizontal distance moved by the diver is given as

[tex]L = 100 m[/tex]

so as per the situation we can use the formula or trigonometry

[tex]tan\theta = \frac{opposite \: side}{adjacent \: side}[/tex]

so now by plug in all values

[tex]tan\theta = \frac{50}{100}[/tex]

[tex]\theta = tan^{-1}(0.50) = 26.56 degree[/tex]

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