A VSAT tower is set at a levelled ground. For setting up the angel for VSAT the measurement is such that a straight line is drawn from both ends of the dish to the ground. The pillar supporting the VSAT dish is vertical with the ground. If the value of 2 ADC is 60° then answer the following questions
Answers
Answer:
1. an.GDF = 60°
2. an.DAC = an.BAC = 30°
3. the new an.DAC = 50°
Step-by-step explanation:
Given:- A VSAT tower which is perpendicular to the ground, a straight line from the dish is drawn to the ground and an.ADC = 60°
To find:- (1), (2) and (3)
Proof:-
(1)
Now, we know that the VSAT is standing on a levelled ground so it is a straight line EF and the line drawn from the dish is also a straight line
then,
an.GDF = 60° (Vertically Opposite Angles)
(That is, when two straight lines intersect, 2 pairs of equal angle is formed. This is a theorem and I hope you have learned it so an.GDF = 60°)
(2)
We know that,
AG is a straight line and B and D are points on it
Thus, an.BAC and an.DAC must be equal
Now, in triangle DAC,
an.ADC = 60°
an.DCA = 90° (VSAT is perpendicular to the Ground)
also, we know that
an.DCA + an.ADC + an.DAC = 180° (Angle Sum Property)
90 + 60 + an.DAC = 180°
an.DAC = 180 - 90 - 60
thus,
an.DAC = an.BAC = 30°
(3)
With respect to A, it is rotated 20° in clockwise direction
so changed an.DAC = old(an.DAC + 20°)
= 30 + 20 = 50°
Thus, the new an.DAC = 50°
Hope it helped and you understood it........All the best
Given : A VSAT tower is set at a levelled ground. For setting up the angel for VSAT the measurement is such that a straight line is drawn from both ends of the dish to the ground. The pillar supporting the VSAT dish is vertical with the ground.
the value of ∠ADC is 60°
To Find : Value of ∠GDF
Value of ∠BAC & ∠DAC
Dish is rotated 20 clockwise find value of ∠DAC
Solution:
∠GDF & ∠ADC are vertically opposite angles
=> ∠GDF = ∠ADC
∠ADC is 60°
=> ∠GDF = 60°
∠BAC = ∠DAC
As point B lies on DA
∠DAC & ∠ADC are complementary angles
=> ∠DAC + ∠ADC = 90°
=> ∠DAC + 60° = 90°
=> ∠DAC = 30°
=> ∠BAC = 30°
∠BAC = ∠DAC = 30°
Dish is rotated 20 clockwise value of ∠DAC = 30° + 20° = 50°
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