Answer:
Total distance from Mr. West to dolphin
Step-by-step explanation:
Height of cliff on which Mr. West is standing above the surface of ocean =
Mr. West spot the dolphin under the water at a depth of =
∴ Total distance from Mr. West to dolphin=
Adding mixed numbers
Adding whole numbers first.
Adding fractions by taking LCD.
Purple color figure is similar to the original figure.
<u>Solution:</u>
Property of similar polygon:
<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
(1) <u>Compare original figure with green color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the green color figure:
67°, 23° and 90°
These two angles of the triangles not congruent angles.
Hence these shapes are not similar.
(2) <u>Compare original figure with yellow color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the yellow color figure:
67°, 23° and 90°
These two angles of the triangles are not congruent angles.
Hence these shapes are not similar.
(3) <u>Compare original figure with purple color figure:</u>
Angles of the original figure:
37°, 53° and 90°
Angles of the purple color figure:
37°, 53° and 90°
These two triangles have same shape and congruent angles.
Ratio of the sides:
These two triangles have same ratio.
Hence these shapes are similar.
Hence purple color figure is similar to the original figure.