Answer:
∠B = 28°, 
Step-by-step explanation:
Given:
A triangle ABC with the following data:
∠A = 98°, ∠C = 54°, b = 33
Now, for a triangle, the sum of all interior angles is equal to 180°. So,
∠A + ∠B + ∠C = 180°
⇒ 98° + ∠B + 54° = 180°
⇒ ∠B + 152° = 180°
⇒ ∠B = 180° -152°
⇒ ∠B = 28°
Now, using the sine rule for a triangle, we can find the remaining sides of the triangle. The sine rule is:
Now, we consider the second pair of fraction.
Therefore, the missing data are:
∠B = 28°, a = 69.61 and c = 56.87
Answer: the height of the helicopter is 22.33 yards
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.
H represents the height of the helicopter.
x + y = 52
x = 52 - y
We would apply trigonometric ratio.
tan # = opposite side/adjacent side.
Tan 48 = H/x
H = xtan48
H = tan48×(52 - y)
H = 1.1106(52-y)
Also,
Tan 35 = H/y
H = ytan35
H = 0.7002×y
H = 0.7002y
Since H = H, therefore
1.1106(52-y) = 0.7002y
57.7512 - 1.1106y = 0.7002y
0.7002y + 1.1106y = 57.7512
1.8108y = 57.7512
y = 57.7512/1.8108
y = 31.89
Recall,
H = 0.7002y
H = 0.7002 × 31.89 = 22.33 yards
The correct answer is: Opposite angles of a parallelogram are congruent.
In a parallelogram, the opposite angles are always congruent. The opposite angles are the angles diagonal across from each other.
You can tell by the order of ABCD that A and C are opposite. B and D are also opposite of each other and congruent.
6a+ 12b+ 18c
Hope this is correct...plz let me know
Answer:
she can buy 0 to 12 bags but no more
Step-by-step explanation:
