Suppose you want to climb up a path that ends 200 ft above your current location and is 400 ft horizontally away from you. However, you do not want to climb up an elevation greater than 40°, should you make the climb.

Q: You are facing a building that is 150 feet higher than your transit, and you must elevate your…

A:

Q: Suppose that it takes a point 72 seconds to travel around a circle once. How long will it take the…

A:

Q: Suppose you are headed towarda plateau 47 m high. If the angle of elevation to the top of the…

A: The solution of the problem is given in the next step.

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: Suppose I throw a baseball with an initial velocity of 80 ft/sec at an angle of 30 degrees to the…

A: It has been given that a baseball is thrown with an initial velocity of 80 ft/sec at an angle of 30…

Q: A 39-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: At what rate is the angle between a clock’s minute and hour hands changing at 4 o’clock in the…

A:

Q: Two people start from the same point. One walks east at 4 mi/h and the other walks northeast (45…

A:

Q: A line drawn from the origin and forming the angle t with the x-axis intersects the unit circle at…

A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: Solve for the exact value. cot 4

A:

Q: A rain gutter is to be constructed from a metal sheet of width 30cm by bending up 1/3 of the sheet…

A:

Q: Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that…

A:

Q: The height of a tree that is leaning towards the sun at an angle of 150 is to be measured. A…

A: Sine law: The rule of sines is the ratio of side length to the sine of the opposite angle. It holds…

Q: Suppose you have a friend who is 6 feet tall. At what distance must your friend standso that he or…

A: Suppose you have a friend who is 6 feet tall.

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. How high…

A: For projectile motion, the parametric equation for the distance travelled is given by…

Q: A tire is rotating at 600times per minute. Through how many degrees does a point on the edge of the…

A: It is given that a tire is rotating 600 times per minute. Evaluate the number of times it rotates…

Q: 8. Suppose that a point on the ground is 50 feet from the base of a tree. If the angle of elevation…

A: Explanation and solutions is given below....

Q: A ladder that is 16 foot long liens against a vertical wall such that it’s based makes a 60° angle…

A:

Q: What two angles of elevation will enable a projectile to reach a target 16 km downrange on the same…

A:

Q: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height…

A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A:

Q: Solve for X (length of KS) when Angle L is and the length of LS is 19 degrees 11.1 inches

A: Given,  ∆KLS with ∠K = 90°  ;  ∠L = 19°   and   LS = 11.1 inches We have to find the value of x

Q: A ladder 5m long is leaning on a wall and makes an amgle of 30 degrees with hthe horizontal. What is…

A:

Q: What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?

A:

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: Find the exact value of sec 3 (플)

A: Given sec2π3   We have to find the exact value of  sec2π3

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: If y = cos*[sec?(30)], and (0 = =) y will be equal to? %3D

A:

Q: Find the exact value of sec 30°.

A: The main objective is to find the value of sec 30°. It is known that the secant function is…

Q: =) Solve the problem. 9) Suppose the tip of the minute hand of a clock is 8 inches from the center…

A:

Q: If the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original,…

A: topic -  triangle geometry

Q: than

A:

Q: Sun 10.5ft. 24°

A:

Q: Solve for x in the right triangle shown in Figure 1.

A: Our Aim is to solve for x in the right triangle given below:-

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away 4. Trom…

A: We have to find how fast is the angle between the top of the ladder and the wall changing when the…

Q: A ladder, 10 ft long, rests against a wall. If the bottom of the ladder slides away from the wall at…

A:

Q: What is the result if we solve for the value of 2 tan 30°?

A:

Q: Lisa has not yet learned how to stop on ice skates, so she just skates straight across the circular…

A:

Q: A surveyor is determining the height of a mountain. From some unknown distance away from the…

A: Consider the given information and draw the sketch. Assume the distance after getting closer by 1…

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

Q: At what minimum height above ground level must I place a satellite dish so that, when pointed upward…

A: According to the question:

Q: a ship is 2.3 degrees off course if the ship is travelling at 11 miles per hour how far course will…

A: distance travelled by ship d (speed = 16 miles per hour) so distance d = speed*time =11*3 =33 miles

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: Find the exact value of the expression whenever it is defined.arccos (-1)

A: The given expression is arccos (-1)

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A: given is you person  are headed toward a plateau 40 m high and the angle of elevation to the top of…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.