Attempt following question by selecting a choice to answer.
e
In an isosceles triangle
PQR, if p = 13, q = 13, and r = 20, then what is the measure of
∠Q to the nearest degree?
DDDD eeeeA.
e40°
B.
e49°
C.
e50°
D.
e42°
ee
A
Step 1: The altitude from R to PQ¯ divides the triangle into two congruent right triangles.
Step 2: In right triangle RSQ, SQ = 12(r) = 12(20) = 10.
Step 3: cos Q = 1013[cos Q = SQRQ.]
Step 4: cos Q = 0.769230769
Step 5: ∠Q = 39.71513723 = 40°, to the nearest degree