The measure of the angle of elevation of a kite is 35. The string of the kite is 340 meters long. If the sag in the string is 10 meters. Find the height of the kite.
The measure of the angle of elevation of a kite is 35. The string of the kite is 340 meters long. If the sag in the string is 10 meters. Find the height of the kite.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter23: Basic Calculations Of Percentages, Percents, And Rates
Section: Chapter Questions
Problem 5A: The length, L, of the standard 82° included angle drill can be calculated using the formula L=0.575...
Related questions
Question
Answer the exercise
![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
Exercise 7.2
if the
me
IS
The shad
of the
ing.
The measure of the angle of elevation of a kite is 35. The string of
the kite is 340 meters long. If the sag in the string is 10 meters.
Find the height of the kite.
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 32º. 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:
Q3.
Q4.
Q5.
Q6.
A
= 11.55m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f91418c-31b2-487f-b133-801fccdea64a%2F544f2f44-1c03-4c47-a573-18a5730a0527%2F4rpoytq_processed.jpeg&w=3840&q=75)
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
Exercise 7.2
if the
me
IS
The shad
of the
ing.
The measure of the angle of elevation of a kite is 35. The string of
the kite is 340 meters long. If the sag in the string is 10 meters.
Find the height of the kite.
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 32º. 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:
Q3.
Q4.
Q5.
Q6.
A
= 11.55m
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