Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
See similar textbooks
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS