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Laabri

Review #2

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Last updated 4 months ago
24 Nsɛmmisa

On this review, you are told by which method to solve the problem.

On the exam you will not be told for every problem which method to use.

Be sure to do a variety of problems.

Section 1: Pythagorean Theorem vs. Trig & Inverse Trig

Section 2: Special Right Triangles

Pythagorean Theorem vs. Trig
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Special Right Triangles
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Aspire to Do
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

FInd the value of x

Use Pythagorean Theorem to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Use Inverse Trig to solve this problem

Answer should be accurate to 1 decimal

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

FInd the length of AB

Use Pythagorean Theorem to solve this problem

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Brian’s kite is flying above a field at the end of 65 m of string. If the angle to the kite measures 70, how high is the kite above Brian’s head?

Be sure to sketch and label the right triangle to help you set up this problem correctly.

Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

The peak of Goose Bay Mountain is 400 m higher than the end of a local airstrip. The peak rises above a point 2025 m from the end of the airstrip. A plane takes off from then end of the runway in the direction of the mountain at an angle that is kept constant until the peak has been cleared. If the pilot wants to cleay the mountain by 50 m, what should the angle of elevation be for the takeoff to the nearest tenth of a degree?

Use Inverse Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

From the top of a 150-foot high tower, an air traffic controller observes an airplane on the runway. How far from the base of the tower is the airplane? 




Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is the distance the players run?

Be sure to sketch and label the right triangle to help you set up this problem correctly.

Use Pythagorean Theorem to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Find x.  

Use Pythagorean Theorem to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

For each set of numbers, determine whether the numbers represent the lengths of the sides of an acute triangle, a right triangle, an obtuse triangle, or no triangle.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Find the measure of the angle labeled x.

Be sure to sketch and label the right triangle to help you set up this problem correctly.

Use Inverse Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Find the value of x

Use Pythagorean Theorem to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

A ladder, 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder?

Be sure to sketch and label the right triangle to help you set up this problem correctly.

Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

A boat is 2000 meters from a cliff. The line of sight from the boat to the top of the cliff is at an angle measure of 10°, how tall is the cliff?

Use Trig to to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Suppose the sun casts a shadow off a 35-foot building. If the angle of the sun is 60O, how long is the shadow?

Use Trig to solve this problem

Answers should be accurate to 3 decimal places

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Find all of the missing sides or angles in each right triangle.AC=

CB=

∠A=

Use anything method you see fit to find the missing measures

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

b=

z=

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

a=

z=

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

b=

z=

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

x=

y=

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Use the law of sines to find AC

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Use the law of sines to find the variable

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Use the law of sines to find the measure of angle B