Question

What is the height of the tree, given that a 6ft man casts a 4ft shadow and the triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow?

a) 12ft
b) 8ft
c) 6ft
d) 10ft

The projected image of a 35mm by 21mm slide is 85cm wide. What is the approximate height of the projected image to the nearest centimeter?
a) 51cm
b) 30cm
c) 44cm
d) 40cm

If the scale of a map is 1cm:12km, what is the actual distance represented by 1.5cm on the map?
a) 18km
b) 24km
c) 15km
d) 9km

For a map with a scale of 1cm:12km, what is the actual distance corresponding to 12cm on the map?
a) 120km
b) 96km
c) 144km
d) 108km

If the map's scale is 1cm:12km, what is the true distance for a map distance of 4.25cm?
a) 51km
b) 36km
c) 48km
d) 68km

Answer 1

To find the height of the tree, we can use the concept of similar triangles. However, since the tree's shadow length is not provided, we cannot determine the exact height of the tree.

Step-by-step explanation:

To find the height of the tree, we can use the concept of similar triangles. Let's set up a proportion with the corresponding sides of the triangles:

Man's height / Man's shadow length = Tree's height / Tree's shadow length

Substituting the given values, we have: 6ft / 4ft = Tree's height / Tree's shadow length

Cross-multiplying, we get: 4 * Tree's height = 6 * Tree's shadow length

Simplifying the equation, we have: Tree's height = (6 * Tree's shadow length) / 4

Since the tree's shadow length is not provided, we cannot determine the exact height of the tree. Therefore, the answer is not given among the options provided.