A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. Attached to a stake in the ground, the guy wire makes an angle of 51° with the ground. How far from the foot of the stop sign is the stake, to the nearest tenth of a foot? STOP В 12' V51° A C

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

A:

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

A:

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 106 m…

A: The bell tower of the cathedral in pisa Italyleans 5.6° from the vertical. A tqurit stands 106 mfrom…

Q: 2. From the top of the control tower 250 m tall, a rock is sighted on the ground below. If the rock…

A: Given, h=250 and l=170.

Q: A surveyor sights two signs and the angle between the two lines of sight measures 80°. If the first…

A: Given that the angle between the two lines of signs is 80∘. The first and the second signs are 70 m…

Q: A 15 feet support wire is attached to a telephone pole at a point 9.5 feet below the top of the pole…

A:

Q: Spider-Man sees an injured bird in on the top of a light post and shoots a 36 m long web to the top…

A: Given Data: The length of the web shoot by spiderman on the top next to the bird is: AS=36 m The…

Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: Serena hits a tennis ball downward from the top of the net at which the angle of depression is 20°.…

A: We have to find the distance

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that…

A:

Q: Find the central angle θ which subtends an arc of length 2 inches of a circle of radius 24 inches…

A: See below

Q: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

Q: A tunnel is to be built through a hill to connect the towns of Mathville and : Trigville with a…

A:

Q: From the top of a 225 m big tall building and observer measures the angle of depression of a bicycle…

A: From the top of a 225 m big tall building and observer measures the angle of depression of a bicycle…

Q: A ladder that is 16 foot long liens against a vertical wall such that it’s based makes a 60° angle…

A:

Q: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. At 2 pm, the angle…

A: Using Alternate Angle test, where AD is the transversal we get Angle A =37    In Triangle ACD tan 37…

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

A:

Q: The index of refraction of light in passing from a vacuuminto dense flint glass is 1.66. If the…

A: The index of refraction of light in passing from a vacuum into dense flint glass is 1.66 and  the…

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: A balloon is connected to a meteorological station by a cable 200 meters long inclined at a 60…

A:

Q: 6. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level…

A:

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

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

A:

Q: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

A:

Q: A tower is put on level ground such that it is perpendicular to it. Two 13. guy wires brace the…

A: As we know from the Pythagorean theorem; Hypotenuse2=Perpendicular2+Base2 And The trigonometric…

Q: A telephone pole of height "h" is installed vertically on the side of a hill that makes an angle of…

A:

Q: From a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 80°.…

A: Please refer to the diagram below. The diagram is indicative and not to scale. We have to find AB

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: 2. In an apartment building, a night light is mounted on a pole that is 7 m high. The night light…

A:

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: 5. From the top of a 30 ft building, the angle of depression to the foot of a building across the…

A:

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

A:

Q: A person 74 meters from the base of a tree, observes that the angle between the ground and the top…

A:

Q: A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of…

A: Given Data: The length of the ladder is: l=9.0 m The distance between the bottom of the ladder and…

Q: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

A:

Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

A:

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

A:

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m   The first angle of depression, ∠EAC =∠ACB = 15°   As the car…

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

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.