An inquisitive math student is standing 25 feet from the base of the Washington Monument. She measures the angle of elevation from her horizontal line of sight to be 87.4°. If her “eye height" is 5 feet, how tall is the monument? Round your answer to the nearest foot.

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: How many miles (1 mile = 5280 feet) is the aircraft from the airport? Round the answer to the…

A: We will use concept of angle of depression.

Q: Miguel drives 220 meters up a hill that makes an angle of 4° with the horizontal ground. To the…

A: The figure of problem

Q: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one…

A: A man mowing his four-sided yard is unable to remember all of its dimensions.   He remembers that…

Q: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

Q: what is c when a=29cm b=28cm and c=52 degrees

A:

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: Solve r = 2 inches, u = 30°, A = ?

A: We know that, the area A of the sector of the circle with radius r formed by a central angle of θ…

Q: Jen is standing on top of the school taking measurements for a trig problem. Her angle of depression…

A:

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

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

A:

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

A:

Q: The world's largest dinosaur, in Drumheller, is 86 ft tall. Anita measured the angles of elevation…

A: Using trigonometric functions,

Q: 2. A young boy tries to balance two pencils against each other on his desk. The pencil on his left…

A:

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

A:

Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

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…

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.