. A hiker (1.7 m tall) measures her distance to the foot of a Sequoia tree to be 25 meters. She also measures the angle of elevation from her eyes to the top of the tree as 80°. Find the height of the tree to closest tenth of a meter.

Q: You have a ramp that is 3.14 meters long, as measured along the surface of the ramp. You raise that…

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Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: Find the altitude of the isosceles triangle if theta= 54degrees and b=5feet. round answer to…

A: Let ABC be triangle and h be the altitude. Angle A=angle C

Q: Find all the values of arccos Select one or more: a. 30° b. C. 5m 6 O d. 150° e. 60° 0 f. 6

A: Topic - Inverse trigonometric functions  We are given  arccos32

Q: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

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Q: To estimate the height of a building, a student stood a certain distance from a building and…

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Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

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Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

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Q: The lifeguard stand is 10 ft high. A lifeguard is looking down at a swimmer in a swimming pool.…

A: Given Data: The height of the lifeguard stand is: h=10 ft The angle of depression is: ∠L=41° The…

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

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.