Trig Final

Two people decide to estimate the height of a flag pole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and 23 feet from each other, find the height of the pole if the angle of elevation from the ground at each person's position to the top of the pole is 58° (see the figure). Apply the rules regarding the use of significant digits when determining your answer.

26 ft

Refer to right triangle ABC with C= 90 degrees

37.0

Refer to right triangle ABC with C= 90 degrees a= 43.7 inches b= 32.4 inches, find B

37.2 degrees

How long should an escalator be if it is to make an angle of 26° with the floor and carry people a vertical distance of 18 feet between floors? Apply the rules regarding the use of significant digits when determining your answer. Round to the nearest foot.

41 ft

An equilateral triangle (one with all sides the same length) has an altitude of 4.6 inches. Find the length of the sides. Apply the rules regarding the use of significant digits when determining your answer. Round to one decimal place.

5.3 in

sin 40 degrees = cos

50 degrees

If a 76.0-foot flagpole casts a shadow 57.0 feet long, what is the angle of elevation of the sun? Apply the rules regarding the use of significant digits when determining your answer. Round to one decimal place.

53.1 degrees

sin z = cos

90 degrees- z

Refer to right triangle ABC with C= 90 degrees. Solve for all the missing parts using the given information. A= 24 degrees, c= 28 m

B= 66 degrees, a= 11m, b= 26m

The two equal sides of an isosceles triangle are each 44 centimeters. If the base measures 30 centimeters, find the height and the measure of the two equal angles. Round your answers to the whole numbers.

The height is 41 cm; the angles are 70°.

The diagonal of a rectangle is 354 millimeters, while the longer side is 274 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the sides.

The side is 224 mm; the angles are 51° and 39°.

Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree. ​ sin θ​ = 0.6438

θ = 40.1°

sin 25°40'

0.4331

cot 31°

1.6643

The circle in the figure has a radius of r and center at C. The distance from A to B is x. A= 34 degrees, r= 16, find x

13

Refer to right triangle ABC with C= 90 degrees B= 16.8 degrees c= 7.65cm, find b

2.21 cm

Find the shorter side of the rectangle. Apply the rules regarding the use of significant digits when determining your answer. ​ __________ mm ​ Find the smaller of the two angles the diagonal makes with the sides. Apply the rules regarding the use of significant digits when determining your answer. ​ __________ ° ​ Find the larger of the two angles the diagonal makes with the sides. Apply the rules regarding the use of significant digits when determining your answer. __________ °

208 mm 36.2 degrees 53.8 degrees