Using the cosine laws A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 910 ft out in the plain from the base of the mountain. Find the shortest length of cable needed.

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

A:

Q: hill is inclined 20 degrees to the horizontal. A pole stands vertically on the side of the hill with…

A: Here, from the given data:

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: This is using Cosine Law. Two pirate ships, A and B, lie 125m apart on the ocean's surface. There…

A:

Q: A camera has been set up to record a diver at a diving competition. What is important for those…

A: Given figure is

Q: A balloonist is directly above a straight road 1.7 miles long that joins two towns. She finds that…

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: The Blue Angels, the Navy's elite flying squadron, have performed for more than 427 million fans…

A: Elevation of plane P = 1570 ft,Elevation of plane A = 1000 ft,Angle of Elevation of plane P =…

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: where the base is 1 foot away from the building and the 4 feet up on the building, then what exactly…

A:

Q: Q2. A man sitting at a height of 40 m on a tall tree on a small island in the middle of a river…

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: It is desired to determine the height of a flagpole. Assuming that the ground is level, an…

A: To find: We have to find how tall is the flagpole from its base i.e., the height of the flagpole.

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.