Question

Give each side and angle measure rounded to the nearest whole number.

Answer 1

Explanation:

By applying sine rule in the given triangle,

cos(25°) =
`\frac{\text{AC}}{AB}`

cos(25°) =
`(b)/(400)`

b = 400[cos(25°)]

b = 362.52

b = 363 ft

By applying sine rule in the given triangle,

sin(25°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(25°) =
`(a)/(400)`

a = 400[sin(25°)]

a = 169.05

a = 169 ft

m∠A + m∠B + m∠C = 180°

25° + m∠B + 90° = 180°

m∠B = 180° - 115°

m∠B = 65°