A person is flying a kite on a windy day. Two observers, standing 30 ft apart, are viewing the kite respectively, as in the picture below. Find the height of the kite, rounded to the nearest tenth of

Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A:

Q: The longer leg of a 30°-60°-90° triangle is 16/3. How long is the shorter leg

A:

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one…

A: A man mowing his four-sided yard is unable to remember all of its dimensions.   He remembers that…

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

Q: Wilfrid is flying a kite in a flat field. He lets out 15 metres of string. The angle of elevation of…

A: The length of the string of the kite = 15 meters The angle of elevation of the kite from Wilfrid's…

Q: Senna is on the tourist bus in France with her friends. From her position, she sees the Eiffel Tower…

A: Here given that, Senna is on a tourist bus in France with her friends. From her position, she sees…

Q: Ron and Francine are building a ramp for performing skateboard stunts, as shown in the accompanying…

A:

Q: Find the exact length of a hypotenuse of a 45°-45°-90° right triangle if one leg measures 13…

A: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. let…

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: Find the altitude of the isosceles triangle if theta= 54degrees and b=5feet. round answer to…

A: Let ABC be triangle and h be the altitude. Angle A=angle C

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: Suppose a = 9 and A = 20 degrees.

A:

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: Diana is designing a triangular race course for a sailing regatta. The course is triangular and has…

A: Given query is to find the size of the third side.

Q: Reflect the triangle over the y-axis

A:

Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

Q: You are standing at the top of a lighthouse, looking down towards a boat on the water. From your…

A:

Q: State the representation that does not change the location of the given point. (4, 110°) A) (4,…

A: (4,110°)

Q: You are standing at the peak of a 1500 meter mountain. You look down below and spot the tent you are…

A: Let A be the peak of mountain, Let the tent is at C

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.