b) 12 m
c) 7.5 m
d) 15 m
Answer: d
Explanation:
In ∠ABR, ∠ARB = 90° and ∠BAR = 45°
Sum of angles of a triangle = 180°
So ∠ABR = 180 – 90 – 45 = 45°
BR = AR
AS = RQ = 10m
Also, BR = BQ – RQ = 25 – 10 = 15m
AR = 15m = Distance between houses
Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45° with the ground. How far are the houses from each other if one house is 25m and other is 10m in height?
a) 18 m
b) 12 m
c) 7.5 m
d) 15 m
Answer: d
Explanation:
In ∠ABR, ∠ARB = 90° and ∠BAR = 45°
Sum of angles of a triangle = 180°
So ∠ABR = 180 – 90 – 45 = 45°
BR = AR
AS = RQ = 10m
Also, BR = BQ – RQ = 25 – 10 = 15m
AR = 15m = Distance between houses
b) 12 m
c) 7.5 m
d) 15 m
Answer: d
Explanation:
In ∠ABR, ∠ARB = 90° and ∠BAR = 45°
Sum of angles of a triangle = 180°
So ∠ABR = 180 – 90 – 45 = 45°
BR = AR
AS = RQ = 10m
Also, BR = BQ – RQ = 25 – 10 = 15m
AR = 15m = Distance between houses
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