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Lesson 2 Trigonometry - Solving for a Side and an Angle of a RIGHT Triangle

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Last updated about 1 month ago
41 Nsɛmmisa
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Example 2: Now with x (the missing side) in the bottom part (denominator) of the ratio

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More Problems --> Find Missing Side of a Right Triangle Using Trigonometric Ratio

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1.

Manipulate Triangle ABC in the slide above to create a different size Triangle ABC. Take a screen shot of your Triangle ABC and upload it to the show your work section. Use your Triangle ABC to find QS.

Round to nearest tenth

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2.

Did you get the same length for QS as your group mates even though your Triangle ABC's were different sizes. Why is this the case?

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3.

Now go back to your Triangle ABC.

Find

(round to nearest hundredth)

Is your

ratio equal your group mates
ratios?

Now using your calculator type [tan] 25 into your calculator.

(round to nearest hundredth)

In the show your work area now lets solve for QS again but by using the trigonometric ratio rather than the actual corresponding sides of a triangle similar to Triangle QRS.

How to set up and solve for a MISSING SIDE of Right Triangle using Trigometric Ratios when given:

ONE SIDE LENGTH and ONE ACUTE ANGLE

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4.

Height of the building to the nearest tenth of a foot = ft.

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5.

Height of the wall to the nearest tenth of a foot = ft.

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6.

A right triangle contains a 38° angle whose adjacent side measures

10 centimeters. What is the length of the hypotenuse, to the nearest

tenth of a centimeter?

cm.

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20.

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21.

Length of the tunnel to the nearest foot = ft.

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22.

What is the height of the upper end of the ramp, x, to the nearest tenth of a foot?

ft.

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23.

Determine and state the slant height, x, of the low side of the tower, to the nearest hundredth of a foot. ft.

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24.

What is the vertical drop, x, to the base of the hill, to the nearest foot? ft.

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25.

Length of the ramp = meters

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26.

Length of the ladder = ft.

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27.

Balloon's height above the ground to the nearest tenth of a foot = ft.

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28.

Horizontal distance from the base of skyscraper to the ship = ft

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29.

Horizontal distance from the base of skyscraper to the ship = ft

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30.

Height of skyscraper to the nearest tenth of a meter meters

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31.

Height of skyscraper to the nearest hundredth of a meter = meters

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32.

Determine and state, to the nearest tenth of a foot, the height of the flagpole. ft.

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33.

Determine and state how high the bird is above the ground, to the nearest foot. ft.

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34.

ft.

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35.

meters

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36.

Height of kite above ground = ft.

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37.

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38.

Height of the tree to the NEAREST foot ft

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39.

Distance boat travelled from Point A to Point B = ft.

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40.

Determine and state the distance across the pond,

, to the nearest meter.

m.

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41.

Determine and state, to the nearest foot, the distance the rocket traveled between the two sightings, C and D.

ft.