In the figure, TZ is tangent to the circle QPZ. Find x if...
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
3
4
5
6
Correct answer is A
In △WOP, b2 = r2 - (4.502...........(i)
In △WOT, b△ + (4.5 + x)2 = a2...........(ii)
In △ZOT, a2 = 62 + r2 ..........(iii)
subst. equation (iii) and (i) in eqn (ii)
r2 - (4.5)2 + (4.5 + x)2 = 36 = 20.25
= (4.5 + x)2 = √56.25 = (4.5 + x)
= 56.25
= 4.5 + x = 7.5
x = 3.0m
Similar Questions
What is the value of x satisfying the equation 42x43x = 2?...
A surveyor walks 500m up a hill which slopes at an angle of 30o. Calculate the vertical height ...
In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y ...
Find the product of 0.0409 and 0.0021 leaving your answer in the standard form ...
If two fair coins are tossed, what is the probability of getting at least one head?...
Integrate 1−xx3 with respect to x...
In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC| ...
Make S the subject of the relation p = s + sm2nr...
In the diagram, O is the centre of the circle of radius 18cm. If < zxy = 70o, calculate the ...