It is 90 ft between the bases of baseball diamond. A catcher throws a baseball to the shortstop who is half-way between second a
nd third bases.
How long is his throw?
How long is his throw?
1 answer:
Answer:
127.3 ft
Step-by-step explanation:
A baseball diamond is constructed in a square shape.
The sides are 90 ft each
If a catcher throws a baseball to the shortstop who is half-way between second and third bases, the distance between the third base and the short stop = 1/2(90)
= 45 ft
length of the throw is found using Pythagoras theorem.
Hypothenus ^2 = opposite ^2 + adjacent ^2
= 90^2 + 45^2
Hypothenus = √8100 + 2025
=√10125
= 100.62 ft (approximately)
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Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
Solving for h:
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
