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Marizza181 [45]
3 years ago
15

The base of a tower with the height of 55 meters is the 37 meters from point A . Find the angle of elevation from point A to the

top of the tower .

Mathematics
2 answers:
boyakko [2]3 years ago
3 0

Answer:

56.07 degrees

Step-by-step explanation:

This is a classic problem involving right triangle trig.  We are looking for the angle that has a side opposite it with a measure of 55 m and a side adjacent to it with a measure of 37 m.  This is the tangent ratio of the missing angle.  Our equation then looks like this:

tan\theta=\frac{55}{37}

To find a missing angle on your calculator in degree mode, hit 2nd then tan and you'll see "tan^-1(  " on your display.  After the open parenthesis, enter your fraction and hit the enter button to get the angle measure.  56.07°

frosja888 [35]3 years ago
3 0

Answer:47. 72°

Step-by-step explanation:

from the attached figure below; adjacent =37 hypotenuse=55

θ = ?

From trig. formular,

cos θ = adjacent / hypotenuse

cos θ = 37 / 55

cos θ =0. 6727

θ = cos⁻¹ (0. 6727)

θ = 47. 72°

The angle of elavation is 47. 72°

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Let's solve your equation step-by-step.

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