Step-by-step answer:
The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.
Here, we have (horizontal) distance of building to the tower is 400'.
We see two right triangles, each with a leg of 400' (horizontal).
The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.
Using the definition of tangent, we have
h1= 400tan24=178.1
h2=400tan20=145.6
The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet
Answer:
Step-by-step explanation:
•y-intercept is the 200 pages she has to read to begin with
•x-intercept on day 16 means she has finished reading all the pages, there are
zero pages left
•there are 100 pages left after 8 days
• the line is straight (no change in slope) so the reading rate was consistent over the 16 days.
Answer:
Shorter piece= 4 ft, longer piece= 13 ft
Step-by-step explanation:
If shorter piece is x
Longer pc is 2x + 5
Together they make 17 feet
So x + 2x + 5 = 17
3 x + 5 = 17
3x = 17 - 5 = 12
3x = 12
X = 12/ 3 = 4
So shorter pc is 4 feet
Longer pc is 2 x + 5
= (2 x 4) + 5
= 8 + 5 = 13
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
Answer:
12
Step-by-step explanation:
(x-h)^2 + (y-k)^2 = r^2 so taking the square root of 144 gives you 12
