Homework Sourse1 A 40 foot ladder just reaches the top of a building and fo
1. A 40 foot ladder just reaches the top of a building and forms an angle of 47.1° with the wall of the building. How many feet tall is the building? Round your answer to the nearest foot and do not write the units.
2. A radio transmission tower is 458 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25° with the ground. How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the units.
3. The angle of elevation to the top of a building is found to be 6 ° degrees from the ground at a distance of 3 miles from the base of the building. Find the height of the building. Give your answer to four decimal places. Do not put units in your answer.
4. A radio tower located 321 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 38 ° and that the angle of depression to the bottom of the tower is 38 °. How tall is the tower? Give your answer to two decimal places. Do not put units in your answer.
5. A 40 ft ladder leans against a building so that the angle between the ground and the ladder is 76°. How high does the ladder reach up the side of the building? Give your answer to two decimal places.
Solution
8.x=x1+x2
tan 63=a/x1
x1=a/tan 63
similarly
x2=a / tan 39
x= a/ tan 63 + a/tan 39 = 45(1/tan 63 + 1/tan 39)= 78.5
