In the diagram above, PR is perpendicular from P to QS, PQ =...
In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?
A.
135o
B.
105o
C.
90o
D.
75o
E.
60o
Correct answer is D
\(\Delta RPS\) = Isosceles triangle
\(\therefore < RPS = \frac{180° - 90°}{2}\)
= 45°
In \(\Delta QPR\),\(\sin < QPR = \frac{1}{2}\)
= 30°
\(\therefore < QPS = 30° + 45° = 75°\)
Similar Questions
Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)...
500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.0...
Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b....
The radius of a sphere is 3 cm. Find, in terms of π, its volume. ...
If events X and Y are mutually exclusive, . P(X) = 1/3 and P(Y) = 2/5, P(X∩Y) is ...
Solve the equation x2 - 3x - 10 = 0...
Find the equation of the locus of a point A(x, y) which is equidistant from B(0, 2) and C(2, 1) ...