The top of the lighthouse is observed from point M at 25.53° angle of elevation and simultaneously from point N 1720m from point A at 53.75° elevation. Find the height of the lighthouse.
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- The top of a tower signal at B 2000 m from A away was sighted through a transit with recorded vertical angle of 2deg30’. The height of the mast is 12 m and the HI of the transit above the point where it is set is 1.10 m. The elevation of the point under the transit A is 133.3 m. Compute the elevation of the base of the signal B. Consider the effects of curvature and refraction.A transit is set up at point B which is between A and B. The vertical angleobserved towards A is known to be -20° and that of C is + 12°. The horizontal distance between A and B is 642.8m and that of B and C is 1032.40m. The height of instrument is 1.5m above B with A having an elevation of 146.32m. Considering the effect of curvature and refraction correction. a. Compute the difference in elevation between A and B.b. Compute the difference in elevation between A and C.c. Compute the elevation of B.The top of the tower signal at B which is 2km away from A was sighted through a transit with recorded vertical angle of 2o30'. The height of the signal situated on top of the tower is 12m and the height of the transit above the point where it is set is 1.10m. The elevation at A is 133.33m, compute the elevation of the base of the signal considering the effect of earth's curvature and refraction.
- Two hills 90km apart has elevation of 60m and 200m. What would be the minimum height of the tower that could be constructed in any of the hills so that it would be inter-visible from each other considering the effect of curvature and refraction?ANSWER KEY: h= 23.7918mFrom point A in between B and C, the angles of elevation of B and C are 18°30'and 8°15' respectively. Point C is 2000m from A, and B is 1200m from A. Elevation of A is 219.42m above sea level. a. Compute the difference in elevation between B and C, considering the effect ofearths curvature and refraction. b. Compute the difference in elevation between A and C. c. Compute the elevation of B.The top of a tower signal at B 2,000 m from A away was sighted through a transit with recorded vertical angle of 2º30’. The height of the mast is 12 m and the Height of Instrument of the transit above the point where it is set is 1.10 m. The elevation of the point under the transit A is 133.30 m. Compute the elevation of the base of the signal tower at B.
- Draw a free body diagram :Topic Trigonometric leveling A transit is set up at point B which is between A and B. The vertical angle observed towards A is known to be -20° and that of C is +12°. The horizontal distance between A and B is 642.80 m and that of B and C is 1032.40 m. The height of instrument is 1.5 m above B with A having an elevation of 146.32 m. Considering the effect of curvature and refraction correction. a) Compute the difference in elevation between A and B. b) Compute the difference in elevation between A and C. c) Compute the elevation of B.TRIGONOMETRIC LEVELING. A vertical angle of -12°25’ is measured to the top of a water tank from an instrument set up on a hill 585.00 meters away from it. The telescope of the instrument is 1.45 m above the ground whose elevation is 462.73 m. Making due allowance for the earth’s curvature and atmospheric refraction, determine the elevation of the base of the water tank is the tank is 32.0 m high. with complete solution adn figure of the said problemAn instrument is set-up at point M and vertical angles are observed at N -21º15' and O +33º45'. The height of instrument from point M = 1.5865m. The horizontal distance of NM and NO are 350.2552m and 904.5565m respectively. If point O is at elevation 620.6453m; Determine the elevation of N neglecting the effects of the curvature and refraction. Determine the elevation of the N making due allowance for the curvature and refraction,
- The top of a mast signal 2000m away was sighted through a transit with recorded vertical angle of 4 deg. 10 min. the height of the mast is 6m and the HI of the transit above the point where it is set is 1.2m. The elevation of the base of the signal B is 171.17m. Compute the elevation of the point under the transit A with due allowance for curvature and refraction correction.1. Three Hills A, B and C has elevations of 660m, 625m, and 600m respectively. B is in between A and C, and is 10km from A and 12 km from C. (30 points) a. Considering the effect of curvature and refraction correction, what is the clearance or obstruction of the line of sight at B considering that C is visible from A. b. If a 5 m tower is erected on top of B, what would be the height of equal towers to be erected at A and C in order that A, B and C will be intervisible. c. What should be the height of tower to be erected at C so that B and C will be intervisible from AFrom point A in between B and C, the angles of elevation of B and C are 18o30' and 8o15' respectively. Point C is 2000m from A, and B is 1200m from A. Elevation of A is 219.42m above sea level.a. Compute the difference in elevation between B and C, considering the effect of earths curvature and refraction.b. Compute the difference in elevation between A and C.c. Compute the elevation of B.