MHB What are the values of x and y when theta is 15 degrees?

  • Thread starter Thread starter xyz_1965
  • Start date Start date
Click For Summary
To find the values of x and y when theta is 15 degrees, the equations tan(15°) = x/200 and cos(15°) = 200/y are established. Solving for x gives x = 200 * tan(15°). For y, rearranging the equation results in y = 200/cos(15°). These calculations provide the necessary values for x and y based on the given angle.
xyz_1965
Messages
73
Reaction score
0
ANGLE_OF_ELEVATION_PROBLEM_01+(1).GIF.cf.gif


Let theta be 15 degrees.

Here is my set up.

To find x, use tan (15°) = x/200.

To find y, use cos (15°) = 200/y.
 
Mathematics news on Phys.org
Yes, you can proceed from there.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

High School To calculate the polar unit vectors using rotated coordinates
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Transforming coordinates between Cartesian and spherical
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find Value of $x-y+z$ in $x,y,z \in N$
  • · Replies 2 ·
Replies
2
Views
1K
MHB Km8,38 Find the value of \theta if it exists
  • · Replies 4 ·
Replies
4
Views
2K
Projectile motion when kicking a ball that lands on an upward slope
  • · Replies 13 ·
Replies
13
Views
3K
MHB Solving Simultaneous Equations: x⁴-y²-xy=4-√15, x³+y³-3x=5√5
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solve 8^x+8^(-x)=? When 4^x+4^(-x)=8
  • · Replies 4 ·
Replies
4
Views
2K
MHB Find tan 15° and cos 72° (using geometry)
  • · Replies 7 ·
Replies
7
Views
2K
MHB Win a $10 or $5 Prize in Tom's 4/19 Lottery Fundraiser
  • · Replies 1 ·
Replies
1
Views
2K
MHB Evaluate cos 2(theta) and sin 2(theta)
  • · Replies 2 ·
Replies
2
Views
2K