A bird has built a nest on top of a pillar. A cat is sitting 4m away from the pillar. For the cat the nest is located at an angle of 22∘ from the horizontal. Determine the height of the pillar correct to 2 decimal places. Give your answer in metres (m).

Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A 14-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

A:

Q: An aerial photographer who photographs real estate properties has determined that the best photo is…

A: Form the right triangle and use the trigonometric ratios.

Q: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A: It is given that the ladder is of length 26 foot and the angle form between the ladder and ground is…

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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: The tangent of an obtuse angle is –7/18 Calculate the cosine of this angle to 4 decimal places.

A:

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

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 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: A guy wire attached to the top of a radio antenna is bolted to the ground 48 m from the base of the…

A:

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

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

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: Alexander is looking up at a 100-foot tall building at an angle of elevation of 30°. If his e 6 feet…

A:

Q: A ladder measuring 2.38 m in length is leaning against a wall. If the angle the ladder makes with…

A: In a right angled triangle, the sine of an angle(other than the right angle) is equal to the ratio…

Q: The related acute angle is the angle formed between the: a) Initial arm and the x-axis b) Initial…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: A kite is flying at an angle of elevation of about 40°. All 80 m of stringhave been let out.…

A:

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

A:

Q: The pilot of a small airplane flying 600 m above the ground notices a village 800 horizontal meters…

A:

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: Determine the length of a ladder needed to reach the roof of the building shown below. The building…

A:

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

A:

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: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

Q: From the top of a building at 87.sm, Super Barn Sees his neighbor yekkó the Yak Sitting by his Yert…

A: Given:- From the top of a building at 87.8m, Super Barry Sees his neighbour Yekkó the Yak Sitting by…

Q: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

A:

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: Find the approximate value of the smaller angle formed between the line y = I and the 12 %3D of the…

A: We have to find the value of smaller angle formed between the line y=712x and positive part of…

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

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: A 20-foot ladder is leaning up against a wall. The angle formed with the base of the ladder and the…

A:

Q: The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A:

Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

A:

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

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

A: Answer is in below step

Q: A submarine that has sunken to the ocean floor is being pulled up by two large freight ships on the…

A:

Q: Find the measure of angle A in degrees. Round your answer to 1 decimal place, if necessary. 213

A:

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

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: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

A:

Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

A: Given that a hot-air balloon is floating above a striaght road angles of depression are 21° and 23°…

Q: From a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

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.