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Type the correct answer in the box. Round your answer to the nearest hundredth.
Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.
Scarlett's height is 1.65 meters, so the height of the dam is meters.

Respuesta :

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Answer:

The height of a dam:

h = x + 1.65 m,  

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

The height of the dam is 45.5 m.

Explanation:

Cricetus

The height of the dam will be "45.55 m". A complete solution is below.

According to the question,

The height of dam,

[tex]h = x + 1.65 \ m[/tex]

Now,

→ [tex]x = 90 \ m\times tan 26^{\circ}[/tex]

By substituting the values, we get

    [tex]= 90 \ m\times 0.4877[/tex]  

    [tex]= 43.90[/tex]

hence,

The height of dam will be:

→ [tex]h = 43.90 \ m + 1.65 \ m[/tex]  

     [tex]=45.55 \ m[/tex]  

Thus the above response is appropriate.

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