Answer:
Step-by-step explanation:
1. Cos 52° = adj/hyp
Cos 52° = x/13
x = 13×cos 52°
x = 8.00
2. Sin70° = opp/hyp
Sin70° = 30/x
x sin70° = 30
x = 30/sin70°
x = 31.93
x ≈ 32
3. Tan∅ = opp/adj
Tan∅ = 45/51
Tan∅ = 0.8824
∅ = tan-¹(0.8824)
∅ = 41.42°
∅ ≈ 41°
We need the image to help you
Answer:
45.6° (1 d.p)
Step-by-step explanation:
Using the cosine rule;
c = √( a² + b² - 2ab Cosx)
11 =√(8² + 15² - 2 (8) (15) Cosx)
11² = 8² + 15² - 240 Cosx
11² - 8² - 15² = - 240 Cosx
-168 = -240 cosx
cosx = 0.7
x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°
Answer:
Part 1:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-50=40
Answer is option C. 40
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Part 2:
Angle DCB is a right angle.
So, angle DCA + angle ACB = 90
Angle ACB = 90 - angle DCA = 90-60=30
Answer is option B. 30
