A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 62.5° with the level ground for a secure footing. Find, to the nearest inch, how far the base of the ladder should be from the side of the building and how far up the side of the building the ladder will reach

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

A:

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: Suppose a 6-foot ladder is leaning against a building, reaching to the bottom of a second-floor…

A: Given:

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

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 person looks up from the ground at an angle of 73o to a person on the top of the Eiffel Tower. The…

A:

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

A:

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

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: A loading ramp is 12 feet long and is placed from the ground level to the top of a loading platform.…

A: Given:- A loading ramp is 12 feet long and is placed from the ground level to the top of a loading…

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.