Compute algebrarcally the resultant of the following co-planar displacement = 20. Dm at 30°; 40.0m at 120°; อ 25.0m at 180 ; 42.0 at 270° 12.0m at 315° 50h
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- A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?A commuter plane starts from in the figure. The plone frst flies to city A, located 175 Km mon in the direction 30° north of east. Next, it flies for 150 Km 30°west north, to city B. Finally, the plane flies 190 Ku deie west, tocity C. airport & takes the raute shown an avay of Find the direct dis ance R from "the air port to city C. 250 В 200 150 (00 So PA | 30 50 _x(km] 100 150 200
- nework @@ 2 W S Question 9 of 14 X mmand Your answer is partially correct. A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h= 1.7 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles. (a) Number -0² (b) Number i 2.5 F2 # 3 E D 80 F3 C 3293.33 $ 4 R F Q F4 % 5 V T JAN 20 A 9 F5 Units G Units 6 B mi c F6 Y H & 7 N Horizon K F7 U 8 00 J DII F8 I M ( - O 9 F9 K 1/10 E ⠀ O ) V O D J F10 P 니 - command 4 V P F11 T { + option Ji) E F12 ? 11A yacht radioed a distress call to a Coast Guard station. From the time of the call, the boat was carriedaway by the sea currents 100.0 km in a direction of 75.0° East of North. The yacht was later found115 km, 61.9° North of East away from the Coast Guard station. At the time of distress call, what isthe location of the boat from the Coast Guard station?Given: JA = 19.3 10A = 29.1° B: B₂ = 35.7, By = -48.6 (a) Calculate the x-components and y-components of Ã. A₂ = Ā: Ay = 4. (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = 0. 0 OB= (c) Calculate the components of the vector sum of à + B = Č: C₁= 0c= Cy= 4. (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 0
- 600 N 45° 30° 900 N In the fig. shown. Det the resultant R including its direction using Trigonometry... R = ;; e =A person observes a point "P" east of his present position, "O". He moves 40° North of East for a distance of 50 meters to "A" from which P bears 30" East of South. Find the distance OP.il vidong P 7. (10pt) In AABC, ZC = 81°, ZB = 33°, and side c = 15. Find side b of AABC to the nearest tenth. pucg 1701 8. (a) (5pt) Prove the identity: secx-cosx = secx sin²x Ils obulout jollood moitotumnez baicoibai saiwisdio aeslau mmol jalgraiz oszo ni flot bris bolodal (b) (5pt) Find cos, if sin and tan 0 <0 5 snowers odriguia bustolovioc (0.x) mpl ori) to anotulos) airpori y bris x sit state noitsupo ostboup grivollol smil movie (inc E+xxx dgety od dolose or noemolni zid sau no bas tev dr.((,0) bas 9. Find all exact solutions to the trig equations for x = [0, 27): tan(x) = -√3 2 sin(x) = √2 (a) (5pt) (b) (5pt) =-- 10. (a) (5pt) Evaluate the logarithm without using a calculator: log, (819) hoitoup oils bri (b) (5pt) Solve for x and round the answer to the nearest tenth: 12* = 384 110 auibet bos.odnos odi vinobl mol bisbraste 20180b7009 diw storio edino ziniog spot fods. I npitori xalqinos oli vulgrai? woled invig oloro od to noisups silloi odi gniau slonio odi dgers bi 01-…
- Can yoy help me to this problem number 313.Using trigonometric functions, find the missing part (? or x) in the following figures. B 14 115 ? 56° 35° А 10 C X.The Harrington family belongs to a yacht club. On Saturdays they take their sailboat out in the bay. They usually spend about 3 hours sailing around. This past Saturday they ended up at a point that was a 51º angle from the dock and 445 yards away. How far east from the dock were they at this point? 280.04 yards 549.53 yards 345.83 yards 330.26 yards
