Angle From Building - Trignometry - Practice Problems, Exercises of Trigonometry

It is the Practice Problems of Trignometry which includes Problems of Statements, Linear Trigs functions, Inequality Problem Functions etc. Key important points are: Angle From Building, Sides and Angles, Geometric Figures, Angle of Depression, Airplane

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Trigonometry Chapter 1A Name___________________
Worksheet 1.6A Day 2
1. The angle of depression from the top of the building to the point on the ground is
o
32 30
. How far is
the point on the ground from the top of the building if the building is 252 meters high?
2. An airplane is flying 10,500 feet above the level ground. The angle of depression from the plane to
the base of a tree is
o
13 50
. How far horizontally must the plane fly to be directly over the tree?
3. The angle of elevation from the top of a small building to the top of a nearby taller building is
o
46.7
,
while the angle of depression to the bottom is
o
14.2
. If the smaller building is 28 meters high, find the
height of the taller building.
4. Find the angle of elevation of the sun if a 50 foot flagpole casts a shadow 75 feet long.
5. A television camera is to be mounted on a bank wall so as to have a good view of the head teller.
Find the angle of depression that the lens should make with the horizontal.
Head
Teller
Camera
5.93 ft
12.02 ft
pf2

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Trigonometry Worksheet 1.6A Day 2 Chapter 1A Name___________________

  1. The angle of depression from the top of the building to the point on the ground isthe point on the ground from the top of the building if the building is 252 meters high? 32 30o ′. How far is
  2. An airplane is flying 10,500 feet above the level ground. The angle of depression from the plane tothe base of a tree is 13 50o ′. How far horizontally must the plane fly to be directly over the tree?
  3. The angle of elevation from the top of a small building to the top of a nearby taller building iswhile the angle of depression to the bottom is (^) 14.2o. If the smaller building is 28 meters high, find the 46.7 o, height of the taller building.
  4. Find the angle of elevation of the sun if a 50 foot flagpole casts a shadow 75 feet long.
  5. A television camera is to be mounted on a bank wall so as to have a good view of the head teller.Find the angle of depression that the lens should make with the horizontal.

HeadTeller

Camera

5.93 ft

12.02 ft

  1. A girl is looking at a bird in a tree 22 feet away at an angle of elevation of 72 o. How tall is the tree?
  2. A guy wire 77.4 meters long is attached to the top of an antenna mast that is 71.3 meters high. Findthe angle that the wire makes with the ground.

Use a calculator to find each value. Give your answer to three decimal places. 8. (^) tan 253 20 (^) ′ 9. (^) sec138.389

Use a calculator to find each value of 10. cos θ = .438 θ , give your answer in decimal degrees. 11. csc θ =7.

Find the missing parts of the right triangle. Round your answers to three decimal places. (C isthe right angle)

  1. a = 5, c = 11 13. A = 49 , bo = 9 b A B

a c B

State the quadrant in which an angle in standard position with measureconditions. θ lies under the given

  1. tan θ> 0 and sin θ< 0 15. sec θ > 0 and csc θ < 0