Answer:
the triangle above is an isoceles triangle
therefore the base angles are equal
So we have:
X + X + 38= 180
2x = 180-38
2x = 142
X = 71°
Answer: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:
Let x be the height of the tower.
Given , 
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
![\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}](https://tex.z-dn.net/?f=%5Ctan%2065%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%202.1445%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%20%5C%20%5Ctext%7B%5BUsing%20calculator%5D%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%202.1445%5Ctimes60%3D128.67%5Capprox129%5Ctext%7B%20feet%7D)
Hence, the tower is 129 feet tall.
100-37=63
0.63 x 1500 = 945
Answer= 945 male workers
Answer:
The first one is n=4,-1
Second one in exact form
Second one in decimal form
Answer: Cluster sampling
Step-by-step explanation:
Cluster sampling is a type of sampling method . With cluster sampling, the observer splits the population into separate groups which are called as called clusters. After dividing the whole populations into clusters he select a simple random sample of clusters from the population. The observer conducts his analysis on data from the sampled clusters.
From the given statement we can see that the automobile is doing his analysis by selecting three stores from each state (cluster) in the country and surveys all customers present in the store in a certain week.
Hence, he used cluster sampling .
