A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter. Make sure to include units.

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

A:

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A:

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

A:

Q: If a 72.0-foot flagpole casts a shadow 51.0 feet long, what is the angle of elevation of the sun (to…

A: Given: Height of the flagpole = 72 foot Length of shadow = 51 foot Let the diagram be: Where, AB =…

Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

Q: If a 72.0-foot flagpole casts a shadow 56.0 feet long, what is the angle of elevation of the sun (to…

A:

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

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: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: A person standing 100 feet from the base of a church observed the angle of elevation to the church's…

A: Given that A person standing 100 feet from the base of a church observed the angle of elevation to…

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Given: The angle of elevation from the tip of the 67-m shadow to the top of the Space Needle is 70°.

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

A:

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

A:

Q: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

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 water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

A:

Q: If a 71.0-foot flagpole casts a shadow 59.0 feet long, what is the angle of elevation of the sun (to…

A:

Q: Determine the quadrant that an angle measuring 1,282 degrees is in if the angle is drawn in standard…

A: We have to determine the quadrant that an angle measuring 1282 degrees is in if the angle is drawn…

Q: 53

A: Here we find the missing angle.

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: The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground.…

A:

Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

A:

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

A:

Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

A: Express the angle as a decimal,  37041'

Q: the guy wire to support a radio tower is positioned 100 feet up the tower. it forms a 43 dagree…

A: To find- Length of the wire.

Q: If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of…

A: Let AB represents the tree and BC represents the shadow, Then angle C is the angle of elevation of…

Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

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

A:

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

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: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

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

Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

A: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: Given that:

Q: From the observation deck of a skyscraper, Jamal measures a 51° angle of depression to a ship in the…

A:

Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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.