Find the measure of FEG 25,65,80,90
1 answer:
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FIG A : ANGLE OF BAC = 67.38 °
FIG B : LENGTH OF RT = 10.549 cm
FIG C: LENGTH OF AB = 5.282 cm
FIG D: ANGLE OF ACB = 37.303°
Step-by-step explanation:
Fig A:
ABC angle = ( Opposite side) / (Hypotenuse)
Sin Ф = (12) / (13)
Ф = Sin⁻¹ ( 12/13)
Ф = 67.38 °
Fig B:
By the basic property of trigonometry
Tan Ф = (Opposite side) / (Adjacent side)
Tan Ф = (14)/ X
X= 14 / (Tan 53° )
Length of RT = 10.549 cm
Fig C:
By the basic property of trigonometry
Sin Ф = (Opposite side) / (Hypotenuse)
Sin Ф = (X) / 12.5
X = 12.5 Sin 25°
X= 5.282 cm
Fig D:
From the basic property of Trigonometry
Tan Ф = (Opposite side) / (Adjacent side)
Tan Ф = (8/10.5)
Ф = Tan⁻¹ ( 8/10.5)
Ф = 37.303°
The quadrants of the points are
- Quadrant 1: Points A and D
- Quadrant 2: Points E and H
- Quadrant 3: Points G and J
- Quadrant 4: Points C
- x-axis: Point F
- y-axis: Point B and I
The points are given as:
A(2, 4) B(0, -3) C(1, -1)
E(-4,1) G(-3,-2) I(0, 2)
D(3, 3) F(2,0) H(-2, 3)
J(-1,-4)
Next, we plot each coordinate on a graph (see attachment)
From the attached graph, we have the following categories
Quadrant 1: Points A and D
Quadrant 2: Points E and H
Quadrant 3: Points G and J
Quadrant 4: Points C
x-axis: Point F
y-axis: Point B and I
Read more about quadrants at
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