In circle T, what is the value of x?
2 answers:
Answer:
x = 19°
Step-by-step explanation:
Refer the attached figure
Given : ∠ACB = 71°
∠BAC = x°
Thales' theorem : If A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.
So, by Thale's theorem ∠ABC is a right angle in the given figure
i.e.∠ABC = 90°
In ΔABC ,
To find x we will use angle sum property of triangle
Angle sum property of triangle : Sum of all angles is 180°
⇒∠BAC+∠ABC+∠ACB = 180°
⇒x°+90°+71° = 180°
⇒x°+161° = 180°
⇒x° = 180°-161°
⇒x° =19°
∠BAC = x° =19°
Thus x = 19°
Hence Option 1 is correct .
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Answer:
Height of shuttle at that instant = 1.17 miles
Step-by-step explanation:
Refer the given figure.
C is the position of rocket and B is the position of observer.
Here we need to find AC, that is the height of shuttle at that instant.
Using trigonometric rules on ΔABC, we have
Height of shuttle at that instant = AC = 1.17 miles
