Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 1, Problem 14P
To determine
The diameter of the moon.
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The angle of elevation 0 of the sun in the sky at any latitude Lis calculated with the
formula sine-cos D cos L cos o sanD sin L wis the number of radians that the Earth
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angle between the line of sight and the radius of the earth is 90°.)
(b) Express this distance in miles.
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The line from a point 150 feet from the base of a redwood tree to the top of the tree is 211 feet. If the angle of elevation to the top of the tree is
54.6 degrees, find the height of the tree in trigonometric form.
a) 0211 sin(54.6) [ft.]
b) O150 sin(54.6) [ft.]
c) 0211 tan(54.6) [ft.]
d) O150 cos(54.6) [ft.]
e) ONone of the above
Chapter 1 Solutions
Physics for Scientists and Engineers
Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10P
Ch. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Prob. 14PCh. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 34PCh. 1 - Prob. 35PCh. 1 - Prob. 36PCh. 1 - Prob. 37PCh. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Prob. 40PCh. 1 - Prob. 41PCh. 1 - Prob. 42PCh. 1 - Prob. 43PCh. 1 - Prob. 44PCh. 1 - Prob. 45PCh. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - Prob. 48PCh. 1 - Prob. 49PCh. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - Prob. 56PCh. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - Prob. 65PCh. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - Prob. 69PCh. 1 - Prob. 70PCh. 1 - Prob. 71PCh. 1 - Prob. 72PCh. 1 - Prob. 73PCh. 1 - Prob. 74PCh. 1 - Prob. 75PCh. 1 - Prob. 76PCh. 1 - Prob. 77PCh. 1 - Prob. 78P
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- A possible explanation of observations is called a(n) ___. (1.2)arrow_forwardA person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h = 1.5 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles.arrow_forwardA 30-ft pole casts a shadow as shown in the figure. 30 ft (a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow. (b) Find the angle 0 of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.) An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 38° and that to the other is 53°, how far apart are the cars? (Round your answer to the nearest foot.) ft To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of clevation is 36°. Estimate the height of the mountain. (Round your answer to the nearest foot.) ftarrow_forward
- A person is standing at the edge of the water and looking out at the ocean (see figure). The height of the person's eyes above the water is h = 1.9 m, and the radius of the Earth is R = 6.38 x 106 m. (a) How far is it to the horizon? In other words, what is the distance d from the person's eyes to the horizon? (Note: At the horizon the angle between the line of sight and the radius of the earth is 90°.) (b) Express this distance in miles. (a) Number i (b) Number i Units Units 90 < Horizonarrow_forwardA distance is expressed as 9792.02 sft. What is the length in international feet? Express your answer to six significant figures. ΑΣΦ vec. ? ft Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the length in meters? Express your answer to six significant figures. ΑΣφ vec ? m Submit Request Answerarrow_forwardGiven points M(27, -27, -3) and N(5, -1, 17), aMN = _____. (Using 4 decimal places, answer in this format: <0.0000, 0.0000, 0.0000>).arrow_forward
- You turn toward the east, seeing the full moon rising. You find that half of your finger tip at arm's legth also covers the diameter of the Moon ! Given that the diameter of the Moon is about 2160 approx how far from Earth is the Moon in miles and km according to your calculations ?arrow_forwardYou turn toward the east, seeing the full moon rising. You find that half of your finger tip at arm's legth also covers the diameter of the Moon ! Given that the diameter of the Moon is about 2160 approx how far from Earth is the Moon in miles and km according to your calculations ? Given that the Diameter of Earth is about 7200 miles and about 115 Earths fit across the sun. l = .5 finger width x = Arm length g = eye level height d = object distace A = angle from eye level to top of the object f = object height from eye level h = diameter of the sun .0127 m .7112 m 0 1.5 x 10^11 m 1.023 degrees 2.673 x 10^6 2.673 x 10^9 marrow_forwardThe Moon's diameter is 3.5 ✕ 106. What is the coefficient? What is the exponent? The length of a small mosquito is 3.5 ✕ 10−3 m. coefficient exponentarrow_forward
- The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help yououtarrow_forwardLangleyville (43 degrees S, 77.6 degrees w) and Cajun Country (25 degrees s, 77.5 degrees w) have almost the same longitude, which means that they are roughly due north-south of each other. Set up all the work to find the approximate distance in miles between the cities assuming the radius of the earth is 4000 miles.arrow_forwardThe angle of elevation 0 of the sun in the sky at any latitude Lis calculated with the formula sane-cos Dcos L cos wsanD sinL wis the number of radians that the Earth has rotated through since noon when w-0. Dis the declination of the sun. Westville has latitude L-30 . Find the angle of elevation 8 in degrees of the sun at 3 PM on February 29, 2012, where at that time D-0.125 and w-0.7854 O 36.8 28 O 05 26.9"arrow_forward
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