bbyface820
bbyface820 bbyface820
  • 23-10-2019
  • Mathematics
contestada

7. Find the measure of the angle of elevation of the sun when a boy 5 feet tall cast's a shadow
5 feet long.​

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-10-2019

Answer:

[tex]45\degree[/tex]

Step-by-step explanation:

We use trigonometry to find the angle of elevation.

From the diagram, the angle of elevation of the sun is [tex]\angle A[/tex]

Recall the mnemonics SOH CAH TOA.

[tex]\tan A=\frac{Opposite}{Adjacent}[/tex]

[tex]\tan A=\frac{5}{5}[/tex]

[tex]\tan A=1[/tex]

[tex]A=\tan^-1{1}=45\degree[/tex]

Therefore the angle of elevation of the sun is [tex]45\degree[/tex]

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