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Q1. How far is a man from the foot of tower 150 meters high, if the measure of the angle of elevation of its top as observed by him is 40° 30'. mi 200

Q1. How far is a man from the foot of tower 150 meters high, if the measure of the angle of elevation of its top as observed by him is 40° 30'. mi 200

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 28A
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h = Example 7: Solution: 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 Also 30 A 10 m Fig. 6.14 AB 10 10 Cos30⁰ = ⇒AD=. = 11.55m AD Cos30⁰ 0.8660 Height of pole = h = BD + AD AD = CD :. h = 11.55 +5.77 = 17.32m Exercise 7.2 How far is a man from the foot of tower 150 meters high, if the measure of the angle of elevation of its top as observed by him is 40° 30'. The shadow of a building is 220 meters when the measure of the angle of elevation of the sun is 35º. Find the height of the building. 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. Q1. Q2. Q3. Q4. Q5. Q6.
Transcribed Image Text:h = Example 7: Solution: 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 Also 30 A 10 m Fig. 6.14 AB 10 10 Cos30⁰ = ⇒AD=. = 11.55m AD Cos30⁰ 0.8660 Height of pole = h = BD + AD AD = CD :. h = 11.55 +5.77 = 17.32m Exercise 7.2 How far is a man from the foot of tower 150 meters high, if the measure of the angle of elevation of its top as observed by him is 40° 30'. The shadow of a building is 220 meters when the measure of the angle of elevation of the sun is 35º. Find the height of the building. 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. Q1. Q2. Q3. Q4. Q5. Q6.
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