From the 108 meters lighthouse, the angle of depression of a boat at sea is 27 degrees. Find the horizontal distance from the boat to the base of the lighthouse in meters.

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

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Q: The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the…

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: From a point 100 feet away from a cell phone tower, the angle of elevation to the top of the tower…

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Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given:     To determine: length of AB

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: A 103-foot wire is used to support a utility tower. It runs from the tower to ground and forms a 24…

A: We have  the utility tower with unknown height, the wire makes an angle 24∘ with ground runs to the…

Q: If a triangular parcel of land has sides of lengths 541 feet, 429 feet and 395 feet. What is the…

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Q: When the angle of elevation of the Sun is 62°, a telephone pole that is tilted at an angle of 8°…

A: Consider the following figure. Here, OC is the pole and OA is the shadow of length 20 ft. Given:…

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

Q: Estimate the number of degrees in the angle

A: The smaller angle looks like 60 degree  So the bigger angle is (360-60)= 300 degree

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

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Q: Give the reference angle for 153 degree       63 degree

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

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

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Q: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

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

Q: The east side slope of a hill has a slant height of 187.8 meters. If the angle of inclination of…

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Q: If you stood 52 feet from the base of the object what would be the angle of elevation from eye…

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Q: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of 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 building 56.69 feet tall has a shadow that is 60.89 feet long. Find the angle of elevation of the…

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

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Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: The angle of elevation from a point 116 meters from the base of the Eiffel Tower to the top of the…

A: The given situation is described in a diagram as: where the angle of elevation is ∠A=68.8° and…

Q: If you stood 52 feet from the base of the object what would be the angle of elevation from 5.67…

A: Given question:- If you stood 52 feet from the base of the object what would be the angle of…

Q: A forest ranger views a tree that is 200 feetaway with a viewing angle of 20°. How tall is the tree…

A: Given Information -  The forest ranger is 200 feet away from the tree. The viewing angle is 20° to…

Q: Give the reference angle for 153 degree       -27 degree

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

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: From a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

Q: A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: A 600-ft guy wire is attached to the top of a communications tower and the angle made by the wire…

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

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Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

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Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: The top of a 250 foot vertical tower is to be anchored by cables that make an angle with a measure…

A:

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: From a point on level ground 80 feet from the base of the Eiffel Tower, the angle of elevation is…

A: Let C be the base of the Eiffel tower and A is the point on ground which is 80 feet away from the…

Q: How high on the w makes 57° angle

A: We draw the situation as Here AC is the ladder, AB is the floor and CB is the wall. As the angle…

Q: While sightseeing in Seattle, you visit the Space Needle.  From a point 175 feet from the structure,…

A:

Q: When the angle of elevation of the Sun is 62°, a telephone pole that is tilted at an angle of 8°…

A: Angle formed by the pole with the ground is, 90°-8°=82° Now the remaining angle of the triangle is,…

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: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: Find the complement of the supplement of an angle measuring 175°.

A: Given, angle

Q: Find the quadrant where the angle -260', drawn in standard position, terminates.

A: We need to find the quadrant where the angle -260° draw in standard position.

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

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

A:

Q: Can an angle of elevation be more than 90°?

A: Angle of elevation can never be greater than 90 degrees.

Q: A surveyor measures the lengths of a triangular plot of land as 420 feet, 350 feet and 180 feet.…

A: We sketch the triangle roughly  We have to find C

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.