Directions: Read and analyze each statement carefully then choose the letter of the best answer.
1. A ladder 8 m long leans against a wall of a building. How far is the foot of theladderfromthe wall if the top of the ladder makes 80° angle with the wall?
a. 7.86 m b. 7.87 m. c. 7.88 m d. 7.89 m
2. At the same time, two observers, John and Larry, who are 350 m apart find the angles of elevation of a balloon between them as 35° and 46", respectively. Find the height of the balloonif it is in the same vertical plane as them.
a. 146.21 m b. 147.21 m c. 148.21 m d. 149.21 m
3. While flying at a height of 9 205 ft, a pilot through the radar in the plane, discovers that the angle of depression of a lighthouse is 40°. Find the horizontal distance of the lighthouse and the plane. a. 10 967.09 ft b. 10 968.09 ft c. 10 969.09 ft d. 10 970. 09 ft
4. A bike is seen from a window of a building 45 m from the ground. Find the angle of depression of the bike from the window if the bike is 15 m from the building.
a. 71°33'54" b. 72°34'54" c. 73°35'54" d. 74°36'54"
5. From a certain point on a plain, the angle of elevation of the top of a building is 48º. At another point 18 ft towards the building, the angle of elevation is found to be 68°. Find the height of the building. a. 36.24 ft b. 36.25 ft c. 36.26 ft d. 36.27 ft
6. A bird sits on top of a 5-meter post. The angle of depression from the bird to the feet of an observer standing away from the post is 35º. How far is the observer from the base of the post?
a. 7.12 m b. 7.13 m c. 7.14 m d. 7.15 m
7. From the top of a lighthouse 29.5 m high, the angle of depression of an observer to a boat is 28.5°. How far is the boat from the lighthouse?
a. 54.33 m. b. 53.33 m c. 52.33 m d. 51.33 m
8. The angle of elevation of the sun is 27° at the same time that a flagpole casts a shadow 12 m long. How high is the flagpole?
a. 6.09 m b. 6.10 m c. 6.11 m. d. 6.12 m
9. A bamboo pole is leaning against a tree. If the height of the tree is 12.2 meters and the angle made by the pole and the ground is 40°, what is the length of the pole?
a. 18.98 m. b. 17.98 m c. 16.98 m. d. 15.98 m.
10. A 12 meter high post casts a 19-meter shadow. Find the angle of elevation to the sun.
a. 32.25º b. 32.26⁰ c. 32.27° d. 32.28⁰​