The Gateway Arch in St. Louis is 630 feet. If a person is walking away from the Arch until the angle of elevation to the top is 55 degrees, how far from the Arch is the person?

Q: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

A: We have to find the height of stone face.

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

A:

Q: The two equal sides of an isosceles triangle are each 43 centimeters. If the base measures 48…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: 4. A four-meter ladder leans against a wall. If the foot of the ladder makes an angle of 70° with…

A:

Q: A triangle with the base of 9 meters and an altitude of 12 Meters. which will give the area of the…

A: Consider the given information of the triangle  x=9m, Altitude h=12m

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

A: Given: The height of building =200 meters and angle of depression  from top of building to bottom of…

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Kurt spots a bird sitting it the top of a 40ft   tall telephone pole.…

Q: 200-meter cable is used to support a tower and the cable makes an angle of 60 degrees on the ground.…

A: Given query is to find the height of the tower.

Q: To measure a stone face carved on the side of a​ mountain, two sightings 850 feet from the base of…

A: Given that: Angle of elevation at the bottom of the face=25°Angle of elevation at the…

Q: In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to…

A:

Q: A student measures the length of the shadow of the Washington Monument to be 620ft. If the Monument…

A:

Q: If the third angle measure 42 degrees, the other two angles measure?

A: the third angle measure 42 degrees, the other two angles measure?

Q: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

A:

Q: 120-foot guy wire is attached to the top of an antenna. The angle between the guy wire and the…

A:

Q: From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: The pendulum on a grandfather clock swings from side to side once every second. If the length of the…

A: By using arc length formula pi*r*theta/180

Q: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

Q: Two people are standing 500 feet apart on opposite sides of a building. One determines that the…

A: Given:- Two people are standing 500 feet apart on opposite sides of a building. One determines that…

Q: One side of a parallelogram is 14 feet and another side is 10 feet. The angle between these two…

A: c2=a2+b2-2abcosC here we have a=14  b=10 C=45 c2=142+102-2·14·10cos45 c2=196+100-280cos45…

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 48 degree while the angle…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: At one location, the angle of elevation of the top an antenna is 44.2°. At a point that is 100 feet…

A: We sketch the situation roughly

Q: At a certain time of day, The angle of elevation of the sun is 62 degrees. To The nearest foot, Find…

A: To find -height of pole.

Q: From a point 525 feet in horizontal distance from the foot of a vertical cliff, the angle of…

A:

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: A room is shaped like a kite. The lengths of two adjacent walls are 20.0 ft and 28.0 ft. If the…

A:

Q: Find the third angle of a triangle if the sum and difference of the first and second ongle are 100…

A: Given:- The sum and difference of the first and second angle are 100 degrees and 20 degrees,…

Q: A 132-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A:

Q: A diagonal of a parallelogram makes angles of 32o and 43o respectively with the sides.If the…

A:

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

A:

Q: In a right triangle, the side opposite angle O has a length of 80 inches, the side adjacent to angle…

A:

Q: A 14 foot ladder is leaning against a wall of a house make a 58 degree angle with the wall how far…

A:

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

Q: A surveyor standing 69 meters from the base of a building measures the angle to the top of the…

A: see below the answer

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

Q: and

A:

Q: The radius of a wheel rolling on the ground is 79 centimeters. If the wheel rotates through an angle…

A: In this question we have to find the how many centimeters will wheel moves.

Q: ladder is leaning against a wall. If the angle between the ground and the ladder is 60° and the…

A: Given query is to find the height of the wall.

Q: To find the height of a building, a person measures the angle of elevation to the top of the…

A:

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: Two sides of a triangular lot have lengths 60 feet and 150 feet, and the angle between the two…

A:

Q: he angle of elevation to the top of a tower from point A on the ground is 10.9°. From a point​ B,…

A:

Q: A person standing 206 feet from the base of a church observed the angle of elevation to the church's…

A: Given:    x = 206 feet     θ = 39°

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.