Suppose you know that a building has a height of 540 feet and when you stand a distance away from the building, the angle of elevation is 52°. Find the distance between you and the building rounded to the nearest foot. Height Angle of elevation Distance

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

A:

Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given:     To determine: length of AB

Q: An engineer erects a 120 foot cellular telephone tower. Find the angle of the elevation to the top…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=120 feet (height of the…

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: A Janitor is having a short nap in the shade under a tree that is 100m from the base of the tower.…

A: Let's find.

Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used -                           sinθ =OppositeHypotenuse

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: The initial angle of elevation is 20°, the final angle of elevation 40°, and the change in position…

Q: the height of the antenn

A:

Q: find the shadow cast by a10 foot lamp post when the angle of elevation of the sum is 58 degrees.…

A:

Q: When an airplane is descending to land, the angle of depression is 5°. When the plane has a reading…

A: We have to find the value of x.

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

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: A train track through a mountain is 2400 feet long and makes an angle of 1.5° with the horizontal.…

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: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

A: The sides and the angles of a triangle are related by trigonometric functions. Trigonometric…

Q: In order to estimate the height of a building, two students stand at a certain distance from the…

A:

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: A twoer that is 100 feet tall casts a shadow 187 feet long. Find the angle of elevation of the sun…

A: Remark: For a right-angled triangle, we have tan(θ) = height/base Let the angle of elevation of the…

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

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: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground…

A:

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

A:

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

A:

Q: A guy wire to a tower makes a 73 degree angle with level ground. At point 40 ft farther from the…

A: We sketch the situation roughly Let x= the length of the wire.  y= distance of its base h= height…

Q: A guy wire to a tower makes a 69 degree angle with level ground. At a point 33 feet farther from the…

A: Draw the given scenario as follows.

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the…

A:

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

A:

Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

A:

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the…

A: Since, the angle of elevation of the Sun is 40°.Our Aim is to find the height of a tree whose shadow…

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

A:

Q: The angle of elevation from a rock on the ground to the top of a tree is 38°. If the rock is 20 feet…

A:

Q: A tower that is 100 feet tall casts a shadow 139 feet long. Find the angle of elevation of the sun…

A:

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight…

A: Angle of elevation=6 degree

Q: Suppose that a 100 foot tree casts a shadow that is 135 feet long. What is the angle of elevation of…

A: According to questions , here , θ= angle of elevation As we know that ,In Right angled triangle…

Q: A tower that is 143 feet tall casts a shadow 166 feet long. Find the angle of elevation of the sun…

A: To find the angle of elevation

Q: The shadow of a vertical tower is 79.0 ft long when the angle of elevation of the sun is 31.0°.…

A: In the given question height of tower is asked. Given: Length of shadow is 79 ft. Angle of…

Q: To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud. From…

A:

Q: At a point on the ground 27.6 meters from the foot of a flagpole, the angle of elevation to the top…

A: The point is 27.6 meter from the foot of the flagpole, from that point the angle of elevation to the…

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

A: Anglee of elevstion = 9°Distance of base ana point of observation = 1 mile = 5280 feetIt will make a…

Q: A tree cast a shadow that is 175 feet long. If the angle of elevation from the end of the shadow…

A:

Q: Find the angle of elevation of the sun when a 20 ft. pole casts a shadow 40 ft. long on level…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=20 feet (height of the…

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: a tree casts a shadow of 10 meters when the angle of elevation of the sun is 65 degrees. find the…

A: Use height and distance concept

Q: If we can measure that the tree is 30 feet tall. and you are standing 45 feet away from the tree,…

A:

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: To find the height of the building

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.