A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, how fast is the angle between the top of the ladder and the wall changing when the bottom of the ladder is 6 ft from the base of the wall. Your answer should be in radians per second. Give the exact form of your answer, and a decimal approximation correct to two decimal places. You must show all work to receive credit.
Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.
A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, how fast is the angle between the top of the ladder and the wall changing when the bottom of the ladder is 6 ft from the base of the wall.
Your answer should be in radians per second. Give the exact form of your answer, and a decimal approximation correct to two decimal places.
You must show all work to receive credit.
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