Ford wants to calculate the height of a Christmas tree so he measures a distance of 9 m from the base of the tree (AC).Next he measures the angle x and finds it to be 160How tall is the tree (BC), rounded to the nearest 2 decimal places.(Put the numbers only in the box, do not enter any units.)

The angle of elevation to a nearby tree from a point on the ground is measured to be 53degrees ∘ . How tall is the tree if the point on the ground is 89 feet from the bottom of the tree? Round your answer to the nearest hundredth of a foot if necessary.Answer

The diagram shows a the roof of a shed from the side.George must determine its measurements so that he can order materials to repair it.First use pythagoras theorem to calculate the height AB and put that number correct to ONE decimal place in answer box 1.Second, calculate the height AD, by noticing that CE = 1.1 m, and put that number correct to ONE decimal place in answer box 2.Thirdly, calculate the roof length AC by using the above results. Put that number correct to ONE decimal place in answer box 3.

Barb planted a tree and attached a guy wire to help support its growth. If the guy wire is 3.9 m long and is attached at an angle of elevation of 33.5o, how high up the tree will it reach?(Round your answer to 1 decimal place, and put only the number in the box with no units.)

Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to get an accurate measurement, but determines that the angle of elevation is between 55 degrees and 75 degrees.

From the top of a tree of height 13 m the angle of elevation and depression of the top and bottom of another tree are 45° and 30° respectively. Find the height of the second tree.  (Give your answer to 2 decimal places)