Answer:
x = 240°, x = 300°
Step-by-step explanation:
Using the identity
sin x = 
= 
= - 
, then
x = 
( ) = 60° ← related acute angle
Since sin x < 0 then x is in 3rd / 4th quadrants
x = 180° + 60° = 240°
x = 360° - 60° = 300°
Answer:
x=1.75
Step-by-step explanation:
6x+6=2x+13
-6
6x=2x+7
-2x
4x=7/4
-.1666666666 is the reciprocal of -6
There are 2cm is the answer is this what your looking for
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
