Answer:
The angle is approximately 
.
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
To get the angle, we need to use inverse tangent:
The angle is approximated when rounded to the nearest degree.
Seven and seventy-five hundredths
Answer:
-10%
Step-by-step explanation:
price elasticity of demand = % change in demand / % change in price
Here, the "price" changes from 15 to 45, so its percent change is ...
((new value)/(old value) -1) × 100%
= (45/15 -1) × 100%
= 200%
The % change in demand is given as -20%, so the price elasticity is ...
price elasticity of demand = (-20%)/(200%) = -0.10 = -10%
Answer:
120?
Step-by-step explanation:
SI=PRT/100
=(500X8X3)÷100
= 120
Answer:
b = √45
Step-by-step explanation:
From the figure we get, There are two right angled triangle.
In large triangle 'b' is the base, height = 6 and hypotenuse = 9
<u>To find the value of b</u>
Hypotenuse² = Base² + Height²
Here,
9² = b² + 6²
b² = 9² - 6² = 81 - 36 = 45
Therefore, b = √45
