a 14 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation is 43 degrees. What is the approximate distance between the two trees?

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

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: 3. If a guy wire for a tree is 14 ft long, making 41° angle with the ground, how far is the base of…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: a 187-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far is the se of the…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: A 12 feet ladder leans against the wall of a building and touches the bottom of a window that is 10…

A: We have to determine the angle of ledder with the ground

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: A 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

A:

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: Ashley decides to build an accessibility ramp to help students reach the top of a set of stairs. If…

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75…

A: cos x = adjacent/hypotenuse

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

A:

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: Find the measure of the unknown angle in degrees.

A: Given,

Q: to illuminate the entrance of an apartment building, a night light is mounted on a 6.6 meter tall…

A: Ans-15.376 degree,detailed solution I have uploaded ...hope you will get it...thanks

Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75° with…

A:

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

A:

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: In order to meet safety guidelines, a roof contractor determines that she must place the base of her…

A: Given that a roof contractor determines that she must place the base of her ladder 4 feet away from…

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A:

Q: A 43​.0-m guy wire is attached to the top of a 31.6​-m antenna and to a point on the ground. How far…

A:

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: The top bunk is 4 ft 4 in above the floor, and the ladder is attached to the top bunk at a 30 degree…

A:

Q: What is the measure of angle 1 in degrees? What is the measure of arc 2 in degrees?

A:

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2.

A: We can easily calculate the unknown angle by using basic trigonometric fuctions. Let unknown angle…

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.