Sine, Cosine, Tangent Applications

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The angle of elevation from a point 43 feet from the base of a tree on level ground to the top of the tree is 30°. What is the height of the tree? Round your answer to the nearest tenth

Step 1

Step 1) First, you should draw and label a picture of this word problem.

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Step 2) The illustration

Rest of Steps

Now, set up your trig ratio and solve for a side length:

If the angle of elevation to the top of a tree is 20°. How far are you away from the tree, if the tree's height is 31 feet? Round your answer to the nearest tenth

Step 1

Step 1) First, you should draw and label a picture of this word problem.

Show Picture

Rest of the Steps

Now, set up the tangent ratio and solve for a side length:

If the angle of elevation to the top of a tree is 65°. How far are you away from the tree, if the tree's height is 27 feet? Round your answer to the nearest tenth

Step 1

Step 1) First, you should draw and label a picture of this word problem.

Show Picture

Rest of the Steps

Now, set up your trig ratio and solve for a side length: