2. Consider two buildings. An observer in a hot-air balloon, above and to the left of both buildings, determines the angle of depression to the closest building to be 27° and the angle of depression to the furthest building is 18º. a) Create a fully labelled diagram - include the angle(s) of depression. b) What is the distance from the balloon to the closest building if the balloon is 36.0 m to the furthest building.

2. Consider two buildings. An observer in a hot-air balloon, above and to the left of both buildings, determines the angle of depression to the closest building to be 27° and the angle of depression to the furthest building is 18º. a) Create a fully labelled diagram - include the angle(s) of depression. b) What is the distance from the balloon to the closest building if the balloon is 36.0 m to the furthest building.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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John and Jim are standing on the outside of a circular platform and form a 60 degree angle with the center. Mike is standing in line with the center but on the opposite side of the platform. If you draw a line from John to Mike and from Jim to Mike will the angle between John, Jim and Mike be the same as the angle between John, Jim and the center of the circle?
2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is measured from the bottoms of the two buildings. Building Y is shorter than building X. The angle of depression from the top of building X to the top of building Y is 10° (a) Draw a diagram to the right showing the two buildings. Label known lengths and angles. (b) Find the height of building Y. (c) Find the angle of depression from the top of building Y to the bottom of building X. 00303000 13. A plane took off from a runway along a 5° angle of elevation. After 120 miles along that angle, it reached cruising altitude, and leveled off. (a) How far east did the plane travel before reaching the cruising altitude? Sins - 120 10.4 = x (b) What was the cruising altitude? sins = 10.4 Cuis 120 = 108.8 14. A rectangle has sides of length 6 and 10. Find the measure of the smaller angle formed loro its two diagonals cross.
2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of depression (from the top of the mountain to two observation stations on the ground) are 40° and 35°, respectively. Assume that the angle between the lines of the top of the mountain to the stations is 84°. Based on the information given above, (a) Sketch a graph, (b) Calculate the distance between the two observation stations.
6) The angle of depression from the paraglider to the boat (as shown in the diagram) is 36°. When 400 feet of tow rope have been let out, how high is the guy off the water?
24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is 75°?
4. A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At a point P, 210m down the street, the top of the building has an angle of elevation of 15°. How tall is the building?
17.What angle in standard position, to the nearest degree, does the terminal point P(3, -2) form? a. 33° b. 326° С. 34° d. 334°
What would angle B =?