The length of a shadow from the vertical pole (see picture to the right), which is 7m high, is 4m. What is the degree measure of the sun above the horizon?

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dunganriley7 dunganriley7 · Answer 1 · 2019-11-05T16:58:52+01:00

The answer to your question is: 60.3°

Data

height = 7 m

shadow = 4 m

angle = ?

Process

tangent Ф = opposite side / adjacent side

tangent Ф = 7 / 4

tan Ф = 1.75

Ф = 60.3°

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MrRoyal MrRoyal · Answer 2 · 2021-11-23T10:40:54+01:00

The degree measure of the sun above the horizon is 60.3 degrees.

The length and the height are given as 4m and 7m, respectively.

So, the measure of angle is calculated using the following tangent trigonometry ratio:

[tex]\mathbf{tan(\theta) =\frac 74}[/tex]

[tex]\mathbf{tan(\theta) =1.75}[/tex]

Take arc tan of both sides

[tex]\mathbf{\theta =tan^{-1}(1.75)}[/tex]

So, we have:

[tex]\mathbf{\theta =60.3^o}[/tex]

Hence, the degree measure of the sun above the horizon is 60.3 degrees.

Read more about trigonometry ratios at:

https://brainly.com/question/24888715