We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.
First of all, we will draw a right triangle using our given information.
We can see that US is opposite to angle T and ST is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.



Now we will use arcsin to solve for measure of angle T as:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle T is approximately 24 degrees.
Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg =
and hypotenuse = 
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Plugging in values.


Subtracting both sides by 9.


Taking square root both sides.


Thus, the height of the dog house = 4 feet.
Answer:
C
Step-by-step explanation:
- example : (5+2)² = 5² + 2.5.2 + 2² = 49
9x² + 6x + 1
9x² = (3x)²
1 = 1²
6x = 2.3x.1
So => 9x² + 6x + 1 => <em>(3x + 1)² </em>
Hope this helps ^-^
Answer:
Is should be 50 feet for the length of tablecloths