Mathematics: Acell phone tower is 120 ft tall. the pole creates a 74 ft shadow. what is the angle of elevation of the sun? round your answer to the nearest degree

Acell phone tower is 120 ft tall. the pole creates

Ответ:

kimberly0367

15.01.2022

Mathematics

The angle of elevation is 58 degrees

Solution:

Given that cell phone tower is 120 feet tall

The tower creates a 74 feet shadow

To find: angle of elevation of sun

The cell phone tower and base ( shadow) forms a right angled triangle

The figure is attached below

ABC is right angled triangle

AC = height of tower = 120 feet

AB = length of shadow = 74 feet

We have to find the angle of elevation

By definition of tan,

$tan \theta = \frac{height}{base}\\\\tan \theta = \frac{AC}{AB}\\\\tan \theta = \frac{120}{74}\\\\tan \theta = 1.621\\\\\theta = tan^{-1}{1.621}\\\\\theta = 58.32 \approx 58$

Thus angle of elevation is 58 degrees

Acell phone tower is 120 ft tall. the pole creates a 74 ft shadow. what is the angle of elevation of

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Acell phone tower is 120 ft tall. the pole creates a 74 ft shadow. what is the angle of elevation of the sun? round your answer to the nearest degree

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