Let x be the age of the teacher.
We know that 7x is a three digit number.
Writing 6 after this number means to multiply this number by 10 (this adds a zero after the number) and then add 6.
So, we actually only need the last information:
Solving this equation is quite trivial: subtract 7x and 6 from both sides and you get
This is indeed a two digit number, and if you multiply it by 6 it becomes 174, a three digits number.
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.
From an absolute value inequality, we have that:
Which has solution:
In this problem:
Applying the solution:
A similar problem is given at brainly.com/question/24835634