ryanisaboy2 ryanisaboy2
  • 07-04-2024
  • Mathematics
contestada

Find the measure of side b.
41°
A
b
C
b=
(Round the answer to the nearest whole number as needed.)
a=
30 yd

Find the measure of side b 41 A b C b Round the answer to the nearest whole number as needed a 30 yd class=

Respuesta :

jimrgrant1 jimrgrant1
  • 07-04-2024

Answer:

b ≈ 35 yd

Step-by-step explanation:

using the tangent ratio in the right triangle

tan41° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{30}{b}[/tex] ( multiply both sides by b )

b × tan41° = 30 ( divide both sides by tan41° )

b = [tex]\frac{30}{tan41}[/tex] ≈ 35 yd ( to the nearest whole number )

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