University:
Bradley University
Course:
MTH 119 | Calculus With Review B
Academic year:

2023
Views:

305

Pages:

2
Author:

segolhandworked

11. A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35°. The surveyor's instrument is 1.45 meters above the ground. Find the height of the bridge. X 230 100 35) 100 Bridge A tor 35= 100. tan 35 = X 100 70m = x +1.45m G1.5m 12. A surveyor is 100 meters from a building. The angle of elevation to the top of the building is 23. The surveyor's instrument is 1.55 meters above the ground. Find the height of the building. tan 23: 100 100. tan 23-x 42.4m total height 42.4 +1.55 = 44 m 13. In a parking garage, each level is 20 feet apart. Each ramp to a level is 130 feet long. Find the measure of elevation for each ramp. H 130 X 200 sin x= 130 X= sin² (20/130) X= 8.8° 14. A train in the mountains rises 10 feet for every 250 feet it moves along the track. Find the angle of elevation of the track. X 250 A 100 tan x=0 10 X=tan" (19250) X = 2.3° 15. A plane rose from take-off and flew at an angle of 11° with the ground. When it reached an altitude of 500 feet, what was the horizontal distance the plane had flown? 110 XA tan 500% Y X = soo/tan 11 X 2,572.3 ft 5. A plane rose from take-off and flew at an angle of 11º with the ground. When it reached an altitude of 500 feet, what was the horizontal distance the plane had flown? repead 6. As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is the ship from the shore? 28 X tan 28= 360 X 360 X = 360/tar 28 X=677 M 10. A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is 25°. Find the distance from the buoy to the foot of the lighthouse. 25 tan 25: 150 150 X= 150/25 tan X= 321.67 ft