Q4. Q5. Q6. A man 18dm. tall observes that the angle of elevation of the top of a tree at a distance of 12m from the man is 32°. What is the height of the tree? On walking 300 meters towards a tower in a horizontal line through its base, the measure of the angle of elevation of the top changes from 30° to 60°. Find the height of the tower. The measure of the angle of elevation of the top of a cliff is 25. On walking 100 meters straight towards the cliff, the measure of the angle of elevation of the top is 48°. Find the height of the cliff.
Q4. Q5. Q6. A man 18dm. tall observes that the angle of elevation of the top of a tree at a distance of 12m from the man is 32°. What is the height of the tree? On walking 300 meters towards a tower in a horizontal line through its base, the measure of the angle of elevation of the top changes from 30° to 60°. Find the height of the tower. The measure of the angle of elevation of the top of a cliff is 25. On walking 100 meters straight towards the cliff, the measure of the angle of elevation of the top is 48°. Find the height of the cliff.
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°.
Related questions
Question
Answer the exercise
Transcribed Image Text:100
= 136.60m
0.7321
A pole being broken by the wind, its top struck ground at an angle
of 30° and at a distance of 10m from the foot of the pole. Find the
whole height of the pole.
Let BC= h = height of pole = ?
AD = CD
D
In right A ABD
BD
Tan30⁰
10
BD = 10tan30º = 10(0.5774) = 5.77m
30
Also
10 m
Fig. 6.14
AB
10
10
Cos30⁰ =
⇒AD=.
AD
Cos30⁰
0.8660
Height of pole = h = BD + AD
AD = CD
..
h = 11.55 +5.77 = 17.32m
if the
me
of its top
IT IS
The
of the
I HIM WIT
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A man 18dm. tall observes that the angle of elevation of the top of
a tree at a distance of 12m from the man is 32°. What is the height
of the tree?
On walking 300 meters towards a tower in a horizontal line
through its base, the measure of the angle of elevation of the top
changes from 30° to 60°. Find the height of the tower.
The measure of the angle of elevation of the top of a cliff is 25. On
walking 100 meters straight towards the cliff, the measure of the
angle of elevation of the top is 48°. Find the height of the cliff.
h =
Example 7:
Solution:
Q4.
Q5.
Q6.
Exercise 7.2
A
= 11.55m
you
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