An amateur cyclist relay race takes place in the evening. Each team has 6 riders. The prize for winning is £963. How much will e
1 answer:
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Answer:
Distance between the observer and the red car is
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =
Let R be the radius and the speed at which the car completes race be w
So,
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes =
So,
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=
Answer:
AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent
In triangle RAS and triangle QAT
[Angle]
[Side] [Given]
By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.
⇒ [By base ∠'s of isosceles triangle are equal]
By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.
,
are supplementary and
,
are supplementary.
⇒ and
Two supplementary to equal
Since,
then, we get;
[Angle]
then, by AAS postulates,
By CPCT[Corresponding Part of Congruent Triangles are equal]
Hence Proved!
