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Roman55 [17]
3 years ago
14

The measure of one acute angle in a right triangle is 75°. What is the measure of the other acute angle in that triangle?

Mathematics
2 answers:
atroni [7]3 years ago
7 0
You know that the sum of all angle is 180 and in right angle triangle one of the the angle is 90 so you have 75 and 90 which the sum of them is 165 so the third angle is 15
algol133 years ago
6 0

The answer is A. 15° because the three angles in a triangle when added together equals 180°.

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Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of
igomit [66]

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

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I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0
2 years ago
A 28 first slide at a waterpark makes an angle of 60° with the ground as it descends into a pool. What is a vertical distance fr
IceJOKER [234]

Answer:

The vertical distance from the top of the slide go the ground is 24.25 feet

Step-by-step explanation:

Here, we want to calculate the vertical distance from the top of the slide to the ground.

To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;

Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle

The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse

So the trigonometric ratio we are to use will consider the opposite and the hypotenuse

This is the sine

Mathematically sine of an angle = length of the opposite/length of the hypotenuse

let’s call the length of the opposite x

sin 60 = x/28

x = 28 sin 60

x = 24.248 which is 24.25 feet

7 0
3 years ago
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