Trigonometry: Orthogonal Vectors

Determine whether the pair of vectors is orthogonal. Which is the correct answer? <-√7,2>, <7,√7> Yes or No.

Trigonometry : Number of Triangles

Determine the number of triangles ABC possible with the given parts. Which is the correct answer? b = 24, c = 27, B = 49° 0 2 3 1

Trigonometry : Find the magnitude and direction angle of a vector.

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. (√2,-1) Which one is the correct answer? √3; 305.3 3; 324.7 √3; 324.7 3; 125.3

Trigonometry : Word Problem - Angle and Distance

Starting at point A, a ship sails 24 km on a bearing of 211°, then turns and sails 33 km on a bearing of 302°. Find the distance of the ship from point A. Which is the correct answer? 57 km 73 km 16 km 40 km

Trigonometry : Word Problem - Angle and Distance

A plane flying a straight course observes a mountain at a bearing of 35.3° to the right of its course. At that time the plane is 9 km from the mountain. A short time later, the bearing to the mountain becomes 45.3°. How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a km)? Which is ...continues

Trigonometry : Find the Missing Angle

Find the missing parts of the triangle. (Find angles to the nearest hundredth of a degree.) a = 162 yd b = 185 yd c = 323 yd Which is the correct answer? A = 19.99, B = 11.49, C = 148.52 A = 19.99, B = 22.98, C = 137.03 A = 22.98, B = 19.99, C = 137.03 No triangle satisfies the given conditions. ...continues

Trigonometry : Solve the Triangle

Solve the triangle, if possible. B = 24.4° C = 102.9° b = 38.62 Which is the correct answer? A = 50.7°, a = 93.13, c = 76.37 A = 50.7°, a = 91.13, c = 74.37 A = 52.7°, a = 76.37, c = 93.13 A = 52.7°, a = 74.37, c = 91.13

Trigonometry : Solve the Triangle

Solve the triangle, if possible. C = 35°30' a = 18.76 c = 16.15 Which is the correct answer? A = 42°25', B = 102°05', b = 25.19 No solution A = 42°25', B = 102°05', b = 27.20; A' = 137°35', B' = 6°55', b' = 3.35 A = 102°05', B = 42°25', b = 17.52; A' = 6°55', B' = 137°35', b' = 26.19 ...continues

Measure Height of Mountain : Angle of Elevation

To measure the height of a mountain a surveyor takes two sightings of the peak at a distance of 900 meters apart on a direct line to the mountain (see attached picture). The first observation results in an angle of elevation of 47 degrees, whereas the second results an angle of elevation of 35 degrees. If the transit is 2 meters ...continues

Write the complex number in rectangular form.

Write the complex number in rectangular form. cis 210° Which is the correct answer? a) -square root of 3/2 + i1/2 b) -1/2 + i(-1/2) c) square root of 3/2 + i(-1/2) d) -square root of 3/2 + i(-1/2)