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Using Right Triangles in the Real World

Using Right Triangles in the Real World. EQ: How do you use right triangles in the real world?. M2 Unit 2: Day 5. tan 70 o. =. h. tan 70 o. =. opp. adj. 40. 40 ● tan 70 o. = h. 109.9. h. ANSWER. The lamppost is about 110 inches tall. Using tangent. EXAMPLE 3.

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Using Right Triangles in the Real World

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  1. Using Right Triangles in the Real World EQ: How do you use right triangles in the real world? M2 Unit 2: Day 5

  2. tan70o = h. tan70o = opp. adj. 40. 40 ● tan 70o = h 109.9 h ANSWER The lamppost is about 110 inches tall. Using tangent EXAMPLE 3 Remember…SOHCAHTOA Example 1 Find the height hof the lamppost to the nearest inch. Write ratio for tangent of 70o. Substitute. Multiply each side by 40. Use a calculator to simplify.

  3. Example 2 EXAMPLE 4 Find a hypotenuse using an angle of depression You are skiing on a mountain with an altitude of 1200 meters. The angle of depression is 21o. About how far do you ski down the mountain? About 3349 feet

  4. Example 3: loading dock 4 ft ramp 32°

  5. Example 4: You lean a 16 foot ladder against the wall. If the ladder forms a 35° with the ground, how far up the wall does the ladder reach? 16ft 35°

  6. Example 5:

  7. Example 6 • Hints: • What’s the difference in the heights of the 2 buildings? • You must find the measure of the angle adjacent to the angle of depression. 35o 120 x

  8. Example 7:

  9. sin 35o = opp hyp 11 sin 35o = x x ●sin 35o = 11 x = x ≈ 11. 11. sin35o 0.5736 ANSWER x ≈ 19.2 You will need a little more than 19 feet of cable. Example 8 Use a trigonometric ratio to find a hypotenuse EXAMPLE 3 You want to string cable to make a dog run from two corners of a building, as shown in the diagram. Write and solve a proportion using a trigonometric ratio to approximate the length of cable you will need.

  10. Homework: Handout

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