Answer:
66.4°
Step-by-step explanation:
To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.
Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
90 + ∠Y + 23.6 = 180
113.6 + ∠Y = 180
∠Y = 180 - 113.6
∠Y = 66.4°
∠Y = ∠XYZ = 66.4°
Answer:
PQ = 5 units
QR = 8 units
Step-by-step explanation:
Given
P(-3, 3)
Q(2, 3)
R(2, -5)
To determine
The length of the segment PQ
The length of the segment QR
Determining the length of the segment PQ
From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.
so
P(-3, 3), Q(2, 3)
PQ = 2 - (-3)
PQ = 2+3
PQ = 5 units
Therefore, the length of the segment PQ = 5 units
Determining the length of the segment QR
Q(2, 3), R(2, -5)
(x₁, y₁) = (2, 3)
(x₂, y₂) = (2, -5)
The length between the segment QR is:
Apply radical rule:
Therefore, the length between the segment QR is: 8 units
Summary:
PQ = 5 units
QR = 8 units
