Mathematics: What is the approximate degree measure of angle a in the triangle below?

What is the approximate degree measure of angle

reesespowerade

10.01.2022

Answer-

$\boxed{\boxed{m\angle A=38^{\circ}}}$

Solution-

Given is that,

the triangle is a right angle triangle, where,

AC = Base = 18 units

BC = Perpendicular = 14 units

From the properties of trigonometry, we know that

$\tan \theta=\dfrac{\text{Perpendicular}}{\text{Base}}$

Putting the values,

$\Rightarrow \tan A=\dfrac{\text{BC}}{\text{AC}}$

$\Rightarrow A=\tan^{-1}\dfrac{\text{BC}}{\text{AC}}$

$=\tan^{-1}\dfrac{\text{14}}{\text{18}}$

$=\tan^{-1}0.78$

$=37.95\approx 38^{\circ}$

Therefore, the measurement of angle A is 38°

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lovebug3563

09.05.2021

a resposta é:

a: +2 < +1 < 0 < -3 < -4 < -8

b: +6 < +2 < +1 < 0 < -9 < -10

Espero que minha resposta seja útil para você

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