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: 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: 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: 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: 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: 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…

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.