1. A person has a kite out on 1750 ft of string at an angle of 75° with the ground. An observer notes that the angle formed by the kite and the flier is 102°. How far is the kite from the observer?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
Problem 105PS
icon
Related questions
Question

please please I need an answer

exercise8.
1. A person has a kite out on 1750 ft of string at an angle of 75° with the ground. An
observer notes that the angle formed by the kite and the flier is 102°. How far is the
kite from the observer?
2. An observer is about to climb the tallest mountain in the world, Mount Everest.
He set up base camp 50,000 thousand feet from the peak. The angle of depression
from the peak to camp is 30 degrees. Find the actual height of Mount Everest
3. An observer is standing in a hotel room in Paris, France. You can see the Eiffel
tower from your room. The Eiffel tower is 750 feet away. The angle of elevation from
your room to the top of the Eiffel tower is 46 degrees, and the angle of depression
from your room to the bottom of the Eiffel tower is 20.9 degrees. Find how high your
room is off the ground and find the total height of the Eiffel tower.
4. To find the width of a river, a boy places a wooden peg at a point A on one side
directly opposite an object B on the opposite bank. From A, he walks 50 m along the
bank to a point C. He observes that angle ACB is 34 degrees. Calculate the width of
the river.
5. A tower 150 m high is situated at the top of a hill. At a point, 650 m down the hill
the angle between the surface of the hill and the line of sight to the top of the tower
is 12.50 degrees. Find the inclination of the hill to a horizontal plane.
6. The distances of a point C from two points A and B,
which cannot be measured directly, are required. The
Transcribed Image Text:exercise8. 1. A person has a kite out on 1750 ft of string at an angle of 75° with the ground. An observer notes that the angle formed by the kite and the flier is 102°. How far is the kite from the observer? 2. An observer is about to climb the tallest mountain in the world, Mount Everest. He set up base camp 50,000 thousand feet from the peak. The angle of depression from the peak to camp is 30 degrees. Find the actual height of Mount Everest 3. An observer is standing in a hotel room in Paris, France. You can see the Eiffel tower from your room. The Eiffel tower is 750 feet away. The angle of elevation from your room to the top of the Eiffel tower is 46 degrees, and the angle of depression from your room to the bottom of the Eiffel tower is 20.9 degrees. Find how high your room is off the ground and find the total height of the Eiffel tower. 4. To find the width of a river, a boy places a wooden peg at a point A on one side directly opposite an object B on the opposite bank. From A, he walks 50 m along the bank to a point C. He observes that angle ACB is 34 degrees. Calculate the width of the river. 5. A tower 150 m high is situated at the top of a hill. At a point, 650 m down the hill the angle between the surface of the hill and the line of sight to the top of the tower is 12.50 degrees. Find the inclination of the hill to a horizontal plane. 6. The distances of a point C from two points A and B, which cannot be measured directly, are required. The
Directions: Answer the following on a separate sheet of paper with solution.
Let us find out if you understand the discussed concept by answering these
exercises.
1. Which numbers in the set
{0,732'3'46
T TI I I 2n 3n 5n
T,
are solutions to the
following equations?
1.
a. sin x =
c. 3 sec x = -2V3
e. sec2x- tan2x 1
b. tanx = 1
d. V3| cot x| = 1
f. sin x + cos x = 0
2. Solve the following trigonometric equation.
a. 2 cos x-1 = 0
b. (1+ cose)(tan 0 – 1) = 0
c. 2 cos x tan x = 2 cos x
d. sin2x+ 5cos2 = 2
Transcribed Image Text:Directions: Answer the following on a separate sheet of paper with solution. Let us find out if you understand the discussed concept by answering these exercises. 1. Which numbers in the set {0,732'3'46 T TI I I 2n 3n 5n T, are solutions to the following equations? 1. a. sin x = c. 3 sec x = -2V3 e. sec2x- tan2x 1 b. tanx = 1 d. V3| cot x| = 1 f. sin x + cos x = 0 2. Solve the following trigonometric equation. a. 2 cos x-1 = 0 b. (1+ cose)(tan 0 – 1) = 0 c. 2 cos x tan x = 2 cos x d. sin2x+ 5cos2 = 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Research Ethics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage