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Solved Examples
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Attempt following question by selecting a choice to answer.
e
In the figure, if
∠
R = 90°,
∠
P = 35°25′,
∠
QSR = 62°30′ and RS = 18.3,
then what is the length of
PQ?
DDD eee
A.
e
25
B.
e
43.1
C.
e
60.7
D.
e
49.4
ee
C
View Solution Steps
Step 1: tan 62°30′ =
Q
R
1
8
.
3
[tan S =
Q
R
S
R
.]
Step 2: QR = 18.3 tan 62°30′
Step 3: QR = 18.3 × (1.920982127)
Step 4: QR = 35.15
Step 5: sin 35°25′ =
3
5
.
1
5
P
Q
[sin P =
Q
R
P
Q
.]
Step 6: PQ =
3
5
.
1
5
sin
3
5
°
2
5
'
Step 7: PQ = 60.7[Simplify using calculator.]
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