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: 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: The resultant of a 10-lb force and another force has a magnitude of 12.3 lbs at an angle of 23.4…

A: First make the digram then suppose the length of other vector is x and angle between both vector 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: B a C A NOTE: The picture is NOT drawn to scale. Ancient alien theorists manning two radar stations…

A: Find the distances of UFO asked in the question.

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

A:

Q: Solve for X (length of KS) when Angle L is and the length of LS is 19 degrees 11.1 inches

A: Given,  ∆KLS with ∠K = 90°  ;  ∠L = 19°   and   LS = 11.1 inches We have to find the value of x

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

A:

Q: I was in Sydney in 2003 and, while walking across the Sydney Harbour Bridge,  I took this photo of…

A:

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

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.