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The slope of a mountain makes an angle of 45° with the horizontal. At the base of the mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0<90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by (sin e - cos 0)cose Where g is the acceleration due to gravity in m/sec?. Express the formula for R in terms of 20.

The slope of a mountain makes an angle of 45° with the horizontal. At the base of the mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0<90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by (sin e - cos 0)cose Where g is the acceleration due to gravity in m/sec?. Express the formula for R in terms of 20.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.1: Using Fundamental Identities
Problem 67E
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The slope of a mountain makes an angle of 45° with the horizontal. At the base of the mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0<90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by (sin e - cos 0)cose Where g is the acceleration due to gravity in m/sec?. Express the formula for R in terms of 20.
Transcribed Image Text:The slope of a mountain makes an angle of 45° with the horizontal. At the base of the mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0<90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by (sin e - cos 0)cose Where g is the acceleration due to gravity in m/sec?. Express the formula for R in terms of 20.
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