mark90265 mark90265
  • 22-01-2019
  • Mathematics
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Given the following right triangle, what is the measure of angle B?

Given the following right triangle what is the measure of angle B class=

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wagonbelleville wagonbelleville
  • 22-01-2019

Answer:

A. 55 degrees

Step-by-step explanation:

We are given a right angled triangle ABC having the horizontal length = 10 units and vertical length = 7 units.

Now, the trigonometric form for angles of a right angled triangle gives,

[tex]\tan B=\frac{opposite}{adjacent}[/tex]

i.e. [tex]\tan B=\frac{10}{7}[/tex]

i.e. [tex]\tan B=1.42857[/tex]

i.e. [tex]B=\arctan 1.42857[/tex]

i.e. [tex]B=55.03[/tex]

Hence, the measure of angle B is 55°

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