The answer for this question is 0.2
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
From here, we clear the value of x.
We have then:
Rewriting:
Answer:
the tree is 30 feet tall
Answer: Choice A) AA postulate; 18
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Work Shown:
The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
Tara's Bedroom: A = lw
A = (9)(8)
A = 72 ft²
Jody's Bedroom: A = lw
A = (7)(10)
A = 70 ft²
Tara's bedroom has the greater area than Jody's bedroom.
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of interior angles of a triangle is 180°.
Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°
Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)
= 35°
Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,
Both the triangles will be similar by AA property of similarity.
