A forest ranger views a tree that is 200 feetaway with a viewing angle of 20°. How tall is the tree to thenearest foot?

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

A:

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

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

A:

Q: . Sketch a diagram of a 315° angle in standard position and indicate the measure of its reference…

A:

Q: Give the reference angle for 153 degree       63 degree

A: Reference angle: Reference angle is a acute angle and always positive.

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 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 ship's sonar locates wreckage at a 15 degrees angle of depression below the water, as pictured. A…

A: Given: A ship sonar locates wreckage at a 15° angle of depression below the waterA diver is lowered…

Q: Find the angle of elevation of the sun when a 42 foot tree casts a shadow of 68 feet.

A:

Q: Find the reference angle of 55 degrees.

A: Let, the given angle , θ = 55°Reference angle is always the smallest angle that we can make from the…

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: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

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

A:

Q: Use the law of sines to find the measure of the indicated angle

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Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the…

A:

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: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: What is the angle of elevation created with the ground when a flagpole with a height of 20 feet…

A:

Q: Find the angle of elevation of the sun when a 22 ft. tree casts a shadow 15 R. long on level ground.

A:

Q: Find the magnitude and direction angle for . Round to tenths.

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: What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

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 water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 155…

A: Given that Assume the lawn is circle of radiusr=30 feet. Subtended angle is θ=155° It is known that…

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

A:

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

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: Give the reference angle for 153 degree       -27 degree

A:

Q: 53

A: Here we find the missing angle.

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: Find the measure of the unknown angle in degrees.

A: Given,

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

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

A:

Q: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

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: What angle is vertical to <AGC ?

A:

Q: Find the reference angle of 35 degrees

A: Let, the given angle          θ = 35°Reference angle is always the smallest angle thatwe can make…

Q: A building 28.92 feet tall has a shadow that is 32.03 feet long. Find the angle of elevation of the…

A:

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: A tower that is 155 feet tall casts a shadow 163 feet long. Foind the angle of elevation of the sun…

A:

Q: A 25 foot flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? to 25…

A: We use Trigonometry ratios

Q: What is the angle of elevation of the sun when a 42-ft mast casts a 12 ft shadow?

A:

Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40° O…

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

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.

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.