Matilda is asked to determine the volume of usable wood available in a given tree. To do so, she must first determine the height of the tree. Her strategy is to use her clinometer to measure the angle of elevation at two different locations near the tree. The first location has an angle of elevation of 30o. The second location has an angle of elevation of 45o. If the two locations where she took these measurements are 42m apart, and the tree is perpendicular to the ground, how tall is the tree to the nearest metre?

Q: a plane has an airspeed of 146 km / h. It is flying on a bearing 80 degree while there is 28km/h…

A: Plane speed =146km/h  Bearing=80° Wind speed=28km/h

Q: A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship…

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: Two apartment buildings are 40 ft apart. From a window in her apartment, Izzi can see the top of the…

A: Given that the distance between two apartment buildings are 40 ft. apart. The diagram according to…

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: Rachel and Stacy are 65 m apart on opposite sides of a tree. Rachel sites the top of the tree at an…

A:

Q: Batman and Robin are in the Batcave. They receive two calls for help from citizens of Gotham City…

A:

Q: The sides of the parallelogram are 8cm and 12cm, find the shorter diagonal and the area if the…

A: Given-  The sides of the parallelogram are 8cm and 12cm. To Find- The shorter diagonal and the area…

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

A:

Q: what is the height of the house (opposite side of the triangle)?

A:

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: A landscape designer is working on the plans for a residential yard. Her client wants a privacy…

A: We have to find the number of hedge plants required.

Q: A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are…

A: Given query is to find the distance between Martha and Sammy.

Q: You decide to put up an outdoor movie screen for the backyard. The screen is 12 feet high, and it…

A: Here the 12ft height screen is fixed using two wires of length 18ft. We have to find the distance of…

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.

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

A:

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.