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the area of triangle ABC is 95 square feet. What is the value of b, to the nearest foot?
A) 7 ft
B) 8 ft
C) 13 ft
D) 16 ft

the area of triangle ABC is 95 square feet What is the value of b to the nearest foot A 7 ft B 8 ft C 13 ft D 16 ft class=

Respuesta :

Answer:

D

Step-by-step explanation:

The area (A) of a triangle is calculated using

A = 0.5 absinC

Here a = 13 and ∠C = 65°, hence

A = 0.5 × 13 × b × sin65° = 95, that is

6.5b × sin65° = 95 ( divide both sides by 6.5sin65° )

b = [tex]\frac{95}{6.5sin65}[/tex] ≈ 16 ft ( to the nearest foot )

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