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kilometre. 5 Village B is on a bearing of 135° and at a distance of 40km from village A, as shown. Village C is on a bearing of 225° and a distance of 62 km from village A. a Show that triangle ABC is right-angled. b Calculate the distance from B to C, giving your answer to the nearest 0.1 km. A C Tvo boats set off from X at the same

kilometre. 5 Village B is on a bearing of 135° and at a distance of 40km from village A, as shown. Village C is on a bearing of 225° and a distance of 62 km from village A. a Show that triangle ABC is right-angled. b Calculate the distance from B to C, giving your answer to the nearest 0.1 km. A C Tvo boats set off from X at the same

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.3: Informal Geometry And Measurement
Problem 21E: Consider the square at the right, RSTV. It has four right angles and four sides of the same length....
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В 4 Town X is 54 km due west of town Y. The shortest distance between town Y and town Z is 86 km. If town Z is due south of X, calculate the distance between X and Z, giving your answer to the nearest kilometre. 5 Village B is on a bearing of 135° and at a distance of 40km from village A, as shown. Village C is on a bearing of 225° and a distance of 62 km from village A. a Show that triangle ABC is right-angled. b Calculate the distance from B to C, giving your answer to the nearest 0.1 km. A 6 Two boats set off from X at the same time (below). Boat A sets off on a bearing of 325° and with a velocity of 14 km/h. Boat B sets off on a bearing of 235° with a velocity of 18 km/h. Calculate the distance between the boats after they have been travelling for 2.5 hours. Give your answer to the nearest metre. N at rets off on a trip from S. It heads towards B, a point 6 km away towards point C, 6 km
Transcribed Image Text:В 4 Town X is 54 km due west of town Y. The shortest distance between town Y and town Z is 86 km. If town Z is due south of X, calculate the distance between X and Z, giving your answer to the nearest kilometre. 5 Village B is on a bearing of 135° and at a distance of 40km from village A, as shown. Village C is on a bearing of 225° and a distance of 62 km from village A. a Show that triangle ABC is right-angled. b Calculate the distance from B to C, giving your answer to the nearest 0.1 km. A 6 Two boats set off from X at the same time (below). Boat A sets off on a bearing of 325° and with a velocity of 14 km/h. Boat B sets off on a bearing of 235° with a velocity of 18 km/h. Calculate the distance between the boats after they have been travelling for 2.5 hours. Give your answer to the nearest metre. N at rets off on a trip from S. It heads towards B, a point 6 km away towards point C, 6 km
tHe trcCS, 5 PQRS is a quadrilateral. The sides RS and QR are the same length. The sides QP and RS are parallel. Calculate: 12 cm a angle SQR, b angle PSQ, c length PQ, d length PS, e the area of PQRS. 9cm R 10 Two people, A and B, are standing either side of a transmission mast. A is 130m away from the mast and B is 200m away. 60° 130m -I+ 200 m If the angle of elevation of the top of the mast from A is 60°, calculate: a the height of the mast to the nearest metre, b the angle of elevation of the top of the mast from B.
Transcribed Image Text:tHe trcCS, 5 PQRS is a quadrilateral. The sides RS and QR are the same length. The sides QP and RS are parallel. Calculate: 12 cm a angle SQR, b angle PSQ, c length PQ, d length PS, e the area of PQRS. 9cm R 10 Two people, A and B, are standing either side of a transmission mast. A is 130m away from the mast and B is 200m away. 60° 130m -I+ 200 m If the angle of elevation of the top of the mast from A is 60°, calculate: a the height of the mast to the nearest metre, b the angle of elevation of the top of the mast from B.
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