A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and the top of the tree is 55°. Estimate the height of the tree. (Round your answer to one decimal place.)ft

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5º. If…

A: Here, A is the position of ship's sonar and C is the position of wreck. We need to calculate the…

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

A:

Q: .Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.9. (Round…

A: We use Cosine formula to calculate the angle θ.

Q: A surveyor is standing 50 feet from the base of te tree. The surveyor measures the angle of…

A:

Q: The angle of depression from the top of a tower to a boulder on the ground is 60°. If the tower is…

A:

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: If the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.9 feet…

A: Given : The angle of elevation of the sun is 73°30', and shadow 1.9 feet long.    θ = 73°30' = 73° +…

Q: Determine the length (in feet) of the arc (AB) if the diameter of the circle is 10 feet and the…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: Find x, the angle of depression from the top of a lighthouse that is 187 ft above water level to the…

A: Angle of depression is 9.6°

Q: Rounded to the nearest hundredth, how many degrees are contained in an measuring 3.2 radians? angle

A:

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: From a hot-air balloon, Addison measures a 27∘∘ angle of depression to a landmark that’s 989 feet…

A: given: From a hot-air balloon, Addison measures a angle of depression to a landmark that’s 989 feet…

Q: Determine value of angle a to the nearest tenth of a degree

A: Given that  sin α=13 in the interval π2<α<π cos β=-13in the interval π<β<3π2

Q: What is the equivalent radian measure for the angle 43 degrees?

A:

Q: The sonar of a navy ship detects a submarine that is 4000 feet from the ship. The angle between the…

A:

Q: You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35∘. How…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Given : The angle of elevation to the top of the building is 69°. He then walks 240 feet farther…

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: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

Q: A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown.…

A:

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: f arc AC=129, find angle ADC,

A: We have been given the figure of the circle with the arc AC = 129 and we have to find the angle ADC.…

Q: The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A: Using trigonometric identities.

Q: The radian measure of the angle 1080 ° is

A: We know that  180°  = π radian.therefore   1° =  π180radian

Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: The base of the ladder in the figure is a = 9 ft from the building, and the angle formed by the…

A:

Q: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: What is the radian measure of an angle of 75º?

A: Solve the following

Q: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

A:

Q: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

Q: Henrey is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so…

A:

Q: The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several…

A: The height of the peak is 12,400 feet.

Q: A ship receives sonar reflections at an angle of depression of 31° from a submarine 27 km above the…

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

Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: A plane takes off and climbs at a 9° angle. After flying over 8 miles of ground, what will the…

A: To find: The plane's altitude h. Concept used: Trigonometric ratio: tan θ=pb Here, p is…

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.3. (Round…

A: To find θ

Q: What is the radian measure of a 300º angle

A:

Q: The radian measure of an angle of 334 degrees is

A:

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.