Law of Sine On his son’s birthday party, Liza bought a 4 – layer cake and placed it in the middle of the room. The light was shining down on the cake at an angle causing it to create a shadow. Liza’s sister, Nadine, wondered how long the length of the shadow is. Liza told her that the cake’s height was 1.80 meters. Nadine figured that the cake is perpendicular to the ground. From the way the light was directed, it created a 58 – degree angle. How long will the shadow be in centimeters?

Q: A communications tower is located at the top of a steep hill.  The angle of inclination of the hill…

A:

Q: A plane is flying due south when it makes a 33°turn to the west. What is the angle of a second right…

A: The plane is flying from the south. The first turn is 33° to the west. The difference between south…

Q: Spider-Man sees an injured bird in on the top of a light post and shoots a 36 m long web to the top…

A: Given Data: The length of the web shoot by spiderman on the top next to the bird is: AS=36 m The…

Q: one end fastene nor8: löng attache top of an lat is 71.3 m high. Find the angle the wire makes with…

A: Here we use trigonometric ratio, sin θ=opposite side of the anglehypotenuse

Q: Your business just got a warning for not being wheelchair accessible. Your friend, Tim, has been…

A: Given  vertical rise of the ramp = 3 feet Horizontal distance from building = 7 feet

Q: ou want to tie a piece of rope from the top of a flagpole to a point on the ground 25 meters from…

A: Given: Distance of the point from the base of the flagpole = 25 meters  Rope and ground make a…

Q: You are designing a circular, pattern that has two stars on the circle with an arc of 50 degrees…

A: The angle made by the arc AB at the center 'O' of the circle is equal to the angle made at the…

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: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: 8. The local Parks and Recreation department bought a new slide for the local playground. The slide…

A: We will make the diagram to find the angle of depression.

Q: Flagpole 6. Bill placed a mirror on the ground 5 m from the base of a flagpole. He stepped back…

A:

Q: An electric pole is 85 feet tall and stands vertical. A guy wire 180 feet long is attached from the…

A:

Q: An observer standing on the southern bank of a river sees a tree that is much more than 100 feet…

A:

Q: flagpole 3 m high stands at the top of a pedestal 2 m high located at one side of the pathway. At…

A: Consider the diagram as per given information, here we need to find the value of x that is the…

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: Alyssa rode hot-air balloons during the Christmas break. At one point, she saw Isabelle waving to…

A: According to the given problem , we have We need to find the value of h (height where Alyssa is…

Q: From the top of a bridge over the Burlington Canal, Maria looks down at a sailboat at an angle of…

A: Here we have to use the concept of trigonometry

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: A plane flies 700 miles from Atlanta to Philadelphia with a bearing of 55 degrees. Then it flies 340…

A:

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

A: How much roof overhang should the architect provide so that at noon on the day of the summer…

Q: solve triangle a = 20 , B = 3 a / 4,c = 15 < A = ? ° side a = 20 inches < B = 3 ¤ / 4 side b = ?…

A: The law of sines for a triangle is given as, sin∠Aa=sin∠Bb=sin∠Cc

Q: Jack and Jill were on the same side of a hill but were 34 m apart. Both were lying on the ground…

A: Let the height of the peak of the hill be h . Let the distance BL be x . Use the tangent ratio in…

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

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.