whitecollin09
whitecollin09 whitecollin09
  • 08-03-2018
  • Mathematics
contestada

In △ABC, AB = 7 and AC = 17. Find m∠B to the nearest degree
68
38
21
87

In ABC AB 7 and AC 17 Find mB to the nearest degree 68 38 21 87 class=

Respuesta :

SerenaBochenek SerenaBochenek
  • 25-06-2019

Answer:

The m∠B is 68°

Step-by-step explanation:

Given the right angled triangle ABC in which right angled is at A.

AB = 7 units and AC = 17 units

we have to find the measure of ∠B.

By trigonometric ratios,

[tex]cot \angle B=\frac{AB}{AC}[/tex]

[tex]cot \angle=\frac{7}{17}[/tex]

[tex]\angle B=cot^{-1}(\frac{7}{17})[/tex]

[tex]\angle B=67.619864948\sim 68^{\circ}[/tex]

Hence, the m∠B is 68°

Option 1 is correct

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