Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
The transformations would map EFGH to is a reflection across line k followed by a translation down. Option (a) is correct.
Further explanation:
Given:
The compositions of transformations from EFGH to are as follows,
(a). A reflection across line k followed by a translation down.
(b). A translation down followed by a reflection across line k.
(c). A rotation about point G followed by a translation to the right.
(d). A translation to the right followed by a rotation about point G.
Explanation:
Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.
Rotation is defined as a movement around its own axis. A circular movement is a rotation.
The transformations would map EFGH to is a reflection across line k followed by a translation down. Option (a) is correct.
Option (a) is correct.
Option (b) is not correct.
Option (c) is not correct.
Option (d) is not correct.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Triangles
Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.