To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°. She measures her distance to be 12 m from the base of the tree. How high is the tree to the nearest tenth of a metre?

Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

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Q: Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle…

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Q: Ron and Francine are building a ramp for performing skateboard stunts, as shown in the accompanying…

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Q: The hypotenuse of a right triangle is 5 units and one angle is 0.6 radian. Determine the length of…

A: Given:           Length of hypotenuse = 5 units.One angle is 0.6 radians.

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: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

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Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

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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: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

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Q: A 50ft tower is located on the edge of a river. The angle of elevation between the opposite bank and…

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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: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church in the plane…

A: Given that: From the cliff, 500 ft above the horizontal plane, the angle of depression of a church…

Q: Shania needs a wheelchair ramp to access her house.  She has a length of 25 feet in which to locate…

A: Given query is to find that angle made by ramp is safe or not.

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.