8-1 similarity in right triangles · 8-1 similarity in right triangles practice: finding geometric...
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Holt Geometry
8-1 Similarity in Right TrianglesPractice: Finding Geometric Means
Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form.
3. 4 and 25 4. 5 and 30
Holt Geometry
8-1 Similarity in Right TrianglesPractice: Finding Side Lengths in Right Triangles
5. Find u, v, and w.
Holt Geometry
8-1 Similarity in Right Triangles
Practice: Measurement Application
6. What is the height of the tree to the nearest meter?
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-2 Trigonometric RatiosPractice
2. Write the trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
sin B
cos A
tan B
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-2 Trigonometric Ratios
Practice: Using Trigonometric Ratios to Find Lengths
5. Find the length BC. Round to the nearest hundredth.
6. Find the length QR. Round to the nearest hundredth.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-2 Trigonometric Ratios
Practice
7. Find the length FD. Round to the nearest hundredth.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-2 Trigonometric RatiosPractice
8. Find the length DE. Round to the nearest hundredth.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-3 Solving Right Triangles
a) tanA =1
10b) sinK =
37
c) cosR = 3
More Practice
3. Use your calculator to find each angle measure to the nearest degree.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-3 Solving Right Triangles
Example: Solving Right Triangles
4. Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Method 1: Method 2:
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-3 Solving Right Triangles
5. Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Example: Solving Right Triangles
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-3 Solving Right Triangles
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. 6. 7.
Practice
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-4 Angles of Elevation and Depression Practice
2. Use the diagram above to classify each angle as an angle of elevation or angle of depression.
a. ∠5
b. ∠6
c. ∠3
d. ∠4
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-4 Angles of Elevation and Depression
Example: Finding Distance by Using Angle of Elevation
3. The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the shadow to the top of the Space Needle is 70º, how tall is the Space Needle? Round to the nearest meter.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-4 Angles of Elevation and Depression
4. Suppose the plane is at an altitude of 3500 ft and the angle of elevation from the airport to the plane is 29°. What is the horizontal distance between the plane and the airport? Round to the nearest foot.
Application (angle of elevation) - Practice
3500 ft
29°
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-4 Angles of Elevation and Depression
Example: Finding Distance by Using Angle of Depression5. An ice climber stands at the edge of a crevasse that is 115 ft wide. The angle of depression from the edge where she stands to the bottom of the opposite side is 52º. How deep is the crevasse at this point? Round to the nearest foot.
Holt Geometry
8-1 Similarity in Right Triangles
Holt Geometry
8-4 Angles of Elevation and DepressionApplication (angle of depression) - Practice
6. Suppose a ranger sees fire and the angle of depression to the fire is 3°. What is the horizontal distance to the fire? Round to the nearest foot.
3°