26. A steel cable supports a telephone pole. The cable makes a 65 angle with the

Question

26. A steel cable supports a telephone pole. The cable makes a 65 angle with the ground. The base of the cable is 17 feet away firom the pole. What is the height of the telephone pole to the nearest fool? a. 8 feet b. 15 feet C. 36 feet d. 40 feet 27. On a bke nde you come to a hil that has agrade of 5%. Tothe nearest degree, what is he angle this hil makes with a horizontal line? Hint percent grade slope. b. 3 d. 1 Unit 2 Evaluation 28. An engineer is 980 t from the base of a fountain. The angle of elevation to the top of the column of water is 29.7". The surveyor's angle measuring device is at the same level as the base of the fountain. Find the height of the column of water to the nearest 10 ft. a. 490 ft b. 560 ft c. 850 ft d. 1720ft 29. A 107-ft tall building casts a shadow of 90 ft. To the nearest whole degree, what is the angle of elevaton to the sun? a. 33 b. 40 c. 50 d. 57 30. The angle of depression of a submarine from another ship is 28. The submarine is 791 ft from the ship. About how deep is the submarine? a. 371 f b. 421 ft c. 563 ft d. 698 ft 31. A kite on a 100-ft string has an angle of elevation of 18. The hand holding the string is 4 ft from the ground. How high above the ground is the kite? a. 95 ft b. 35 ft C. 31 f d. 22 ft 32. A Red Cross helicopter takes off and fies 75 km at20, south of west. At its destination, the helicopter drops off some relef supplies. It then flies 130 kum at 20° west of north which results in a 90" change in direction, to pick up three medics. What is the helicopter's distance from its point of origin? a. 75 km b. 130 km c. 150 km d. 205 knm

Explanation / Answer

26. Let the height = h feet

tan theta = height / base

tan 65 = h / 17

h = 17 tan 65=36 feet

27. slope = tan theta = 5/100

theta = tan-1(5/100)= 3 degree

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