Answer:
x=30°
y=15°
z=150°
Step-by-step explanation:
2x+90+x=180°
2x=180°-90°
x=90/3
x=30
2y=x
y= 30/2
y=15°
2y°+z°=180°
2(15°)+z°=180°
z=180°-30°
z=150°
Hope it helps! :)
Answer:
3 X 52 =156
100+6.5 = 106.5, 106.5/100 = 1.065
1250 X 1.065^156 = 23091323.5
$23091323.50
Solve for c by simplifying both sides of the equation, then isolating the variable.
Exact form: c = -4/9, 2
Decimal form: c = -.4, 2
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
Answer:
Step-by-step explanation:
