In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. What is the measure of angle A to the nearest degree?
1 answer:
This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.
Answer:
d-50
Step-by-step explanation:
Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.
From the diagram, we are given
Hypotenuse = AB = 14
Adjacent = AC = 9
The measure of angle A to the nearest degree is calculated as:
cos θ = Adjacent / Hypothenuse
cos θ = 9/14
θ = cos -¹ (9/14) or arccos(9/14)
θ = 49.994799115°
To the nearest degree = 50°
Therefore,the measure of angle A to the nearest degree = 50°
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Answer:
Sometimes
Step-by-step explanation:
If the volumes of two triangular prisms are the same, that means that:
, where B_1 and h_1 belong to one prism and B_2 and h_2 belong to the second.
It is possible that if the volumes are the same, the prisms are congruent. That means that B_1 = B_2 and h_1 = h_2. However, this isn't always the case. Here's a counterexample:
PRISM 1: B = 4, h = 3 ⇒ V = (1/3) * 4 * 3 = 4
PRISM 2: B = 2, h = 6 ⇒ V = (1/3) * 2 * 6 = 4
Their volumes are the same, but their dimensions certainly aren't. So this statement is true only sometimes.
Hope this helps!