A wind tower at the top of a hill casts a shadow 30 m long along the side - the hill. An observer at the farthest edge of the shadow from the tower estimates the angle of elevation to the top of the tower to be 34°. If the slope of the hill is 13° from the horizontal, how high is the tower to the nearest metre?

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

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: 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: Two trains leave a station at the same time on straight sections of track which form   an angle of…

A:

Q: wo boats (A and B) leave a harbour simultaneously. Boat A sails on a course of 010° at a speed of 15…

A: The boat A sails on a course of  at a speed of knots and B on a course of  with speed of  knots

Q: The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground.…

A:

Q: The Eiffel tower is 970 feet tall, Ie the shadow iS 1200 feet lang at 11:00 am, what is the angle of…

A: topic - inverse trigonometric ratios

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

A:

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

A:

Q: A wall that is 1.4 meters long started to lean and now makes an angle of 80 degrees with the ground.…

A: Question is solved.

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.