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Right Triangle and Trigonometry Pre-Assessment

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Last updated over 3 years ago
12 questions
Required
2
Required
3
Required
1
Required
1
Required
3
Required
4
Required
1
Required
1
Required
3
Required
4
Required
4
Required
5
Question 1
1.

Simplify the radical shown below:

Question 2
2.

Rationalize each denominator, then simplify.

Question 3
3.

What kind of triangle does the Pythagorean Theorem relate to?

Question 4
4.

What is the Pythagorean formula?

Question 5
5.

Leg AB is 5 meters and hypotenuse BC is 13 meters, what is the length of the other leg AC?

Question 6
6.

A 15ft tree casts a shadow that is 8ft long. What is the distance from the tip of the tree to the tip of its shadow?

Question 7
7.

Find the length of x exactly.

Question 8
8.

Find the length of x exactly.

Question 9
9.

Match the sides based on their relationship to A

Draggable itemarrow_right_altCorresponding Item
12
arrow_right_alt
opposite
13
arrow_right_alt
adjacent
5
arrow_right_alt
hypotenuse
Question 10
10.

Find the missing side lengths of the following triangle using sine, cosine, and/or tangent. Round your answer to four decimal places.

Question 11
11.

Solve for x and round to the nearest tenth. Show ALL work necessary in the box provided below.

Question 12
12.

Draw a picture to match the situation—include all numerical information given. Find the height of the tree--you must include all work/calculations to support your final answer to earn the credit for this problem.