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

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,

Thus angle of elevation is 58 degrees

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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