0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# On a station 'O', three horizontal angles were measure closing the horizon which are ∠A=34∘10′20′′±3′′ ∠B=176∘40′32′′±4′′ ∠C=149∘9′4′′±5′′ Then the correct value of angle A is

A
341020.52′′
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
341020.82′′
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
341020.62′′
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
341020.72′′
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D 34∘10′20.72′′Sum of angles A, B and C i.e.∠A+∠B+∠C=359∘59′56′′ Error = M.V - TV = 359∘59′56′′−360∘00′00′′=−0∘0′4′′ Correction = + 4'' Let us assume C1,C2,C3 are correction in ∠A,∠Band∠C C1+C2+C3=4"...(i) C1:C2:C3=32:42:52 ⇒C1C2=916C1C3=925 From equation (i), C1+169C1+259C1=4′′⇒C1=0.72′′ ∴ Corrected angle ∠A=34∘10′20.72′′

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Angles
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program