tk2rzkqx7v tk2rzkqx7v
  • 24-01-2024
  • Mathematics
contestada

Find , the measure of the indicated angle, to the nearest degree.
O 58
38
O 5/8
32
8
Ө
5

Find the measure of the indicated angle to the nearest degree O 58 38 O 58 32 8 Ө 5 class=

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devishri1977
devishri1977 devishri1977
  • 24-01-2024

Answer:

58

Step-by-step explanation:

Trigonometry ratio:

The opposite side and the adjacent side of θ is given. We have to use tan to find the value of θ.

[tex]\sf Tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}\\\\\\Tan \ \theta = \dfrac{8}{5}\\\\Tan\ \theta = 1.6\\\\[/tex]

       [tex]\sf \theta = tan^{-1} \ (1.6)\\\\~~ = 57.99[/tex]

       θ = 58

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