Calculation:
From the figure, it is noticed that two similar triangles formed due to height of a person and his distance from mirror with the height of the wall and its distance from mirror.
In order to find the height of a wall, it is enough to implement the similarity definition on the triangles.
Thats, the similar triangles obey the proportionality of the corresponding length of the sides of the triangles each other.
Hence, from the given triangles the proportionality of the length of the sides is,
\(\displaystyle\frac{{{T}{B}}}{{{H}{F}}}=\frac{{{M}{B}}}{{{F}{M}}}{\left\langle'\le{t}{h}{e}\ {h}{e}{i}{g}{h}{t}\ {o}{f}\ {w}{a}{l}{l}={x}\right)}\)
\(\displaystyle\frac{{x}}{{5.5}}=\frac{{20}}{{2.5}}\)
\(\displaystyle{x}=\frac{{{\left({20}\right)}{\left({5.5}\right)}}}{{{2.5}}}\)
x=44ft
Thus, the height of the wall is 44 ft.
Question
To determine:To find:The height of the wall of the Warehouse. Given: The height of the eye of a person above the floor is 5 1/2 ft and the distance between person and mirror is 2 1/2 ft.
Answers (1)
2020-12-01
Relevant Questions
asked 2021-05-06
A spring is mounted vertically on the floor. The mass of the spring is negligible. A certain object is placed on the spring to compress it. When the object is pushed further down by just a bit and then released, one up/down oscillation cycle occurs in 0.250 s. However, when the object is pushed down by 5.00 X 10^-2 m to point P and then released, the object flies entirely off the spring. To what height above point P does the object rise in the absence of air resistance?
asked 2021-05-26
For a rope course and climbing wall, a guy wire R is attached 47 ft high on a vertical pole. Another guy wire S is attached 40 ft above the ground on the same pole. Find the angle α between the wires if they are attached to the ground 50 ft from the pole.
asked 2021-02-27
A spotlight at a building corridor is fastened to a wall 8m above the floor. A lady 1.75m tall moves away from the wall at a speed of \(\displaystyle{0.75}\frac{{m}}{{s}}\).
a.)at what rate is the lenght of her shadow increasing?
b.)at what speed is the tip of her shadow moving?
a.)at what rate is the lenght of her shadow increasing?
b.)at what speed is the tip of her shadow moving?
asked 2021-04-24
Problem: From what maximum height can a 75 kg person jump w/obreaking the lower leg bone on either leg? Ignore air resistance and assume the CM of the person moves a distance of 0.60m from the standing to the seat position (that is, in breaking the fall). Assume the breaking strength (force per unit area) of bone is \(\displaystyle{170}\times{10}^{{6}}\ \frac{{N}}{{m}^{{2}}}\) and its smallest cross sectional areais \(\displaystyle{2.5}\times{10}^{{-{4}}}\)
asked 2021-02-21
To prove: The similarity of \(\displaystyle\triangle{N}{W}{O}\) with respect to \(\displaystyle\triangle{S}{W}{T}\).
Given information: Here, we have given that NPRV is a parallelogram.
Given information: Here, we have given that NPRV is a parallelogram.
asked 2020-12-25
A wire is attached to the top of a pole. The wire is 7 ft longer than the pole, and the distance from the wire to the bottom of the pole is 7 ft less than the height of the pole. Find the length of the wire and the height of the pole.
The length of the wire is ? ft, and the height of the pole is ? ft.
The length of the wire is ? ft, and the height of the pole is ? ft.
asked 2021-02-19
A 10 kg objectexperiences a horizontal force which causes it to accelerate at 5 \(\displaystyle\frac{{m}}{{s}^{{2}}}\), moving it a distance of 20 m, horizontally.How much work is done by the force?
A ball is connected to a rope and swung around in uniform circular motion.The tension in the rope is measured at 10 N and the radius of thecircle is 1 m. How much work is done in one revolution around the circle?
A 10 kg weight issuspended in the air by a strong cable. How much work is done, perunit time, in suspending the weight?
A 5 kg block is moved up a 30 degree incline by a force of 50 N, parallel to the incline. The coefficient of kinetic friction between the block and the incline is .25. How much work is done by the 50 N force in moving the block a distance of 10 meters? What is the total workdone on the block over the same distance?
What is the kinetic energy of a 2 kg ball that travels a distance of 50 metersin 5 seconds?
A ball is thrown vertically with a velocity of 25 m/s. How high does it go? What is its velocity when it reaches a height of 25 m?
A ball with enough speed can complete a vertical loop. With what speed must the ballenter the loop to complete a 2 m loop? (Keep in mind that the velocity of the ball is not constant throughout the loop).
A ball is connected to a rope and swung around in uniform circular motion.The tension in the rope is measured at 10 N and the radius of thecircle is 1 m. How much work is done in one revolution around the circle?
A 10 kg weight issuspended in the air by a strong cable. How much work is done, perunit time, in suspending the weight?
A 5 kg block is moved up a 30 degree incline by a force of 50 N, parallel to the incline. The coefficient of kinetic friction between the block and the incline is .25. How much work is done by the 50 N force in moving the block a distance of 10 meters? What is the total workdone on the block over the same distance?
What is the kinetic energy of a 2 kg ball that travels a distance of 50 metersin 5 seconds?
A ball is thrown vertically with a velocity of 25 m/s. How high does it go? What is its velocity when it reaches a height of 25 m?
A ball with enough speed can complete a vertical loop. With what speed must the ballenter the loop to complete a 2 m loop? (Keep in mind that the velocity of the ball is not constant throughout the loop).
asked 2021-04-16
To prove: The similarity of \(\displaystyle\triangle{B}{C}{D}\) with respect to \(\displaystyle\triangle{F}{E}{D}\).
Given information: Here, we have given that \(\displaystyle\overline{{{A}{C}}}\stackrel{\sim}{=}\overline{{{A}{E}}}\ {\quad\text{and}\quad}\ \angle{C}{B}{D}\stackrel{\sim}{=}\angle{E}{F}{D}\)
Given information: Here, we have given that \(\displaystyle\overline{{{A}{C}}}\stackrel{\sim}{=}\overline{{{A}{E}}}\ {\quad\text{and}\quad}\ \angle{C}{B}{D}\stackrel{\sim}{=}\angle{E}{F}{D}\)
asked 2021-03-13
When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure (a). The total gravitational force on the body, vector F g, is supported by the force vector n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure (b), where vector T is the force exerted by the Achilles tendon on the foot and vector R is the force exerted by the tibia on the foot. Find the values of vector T , vector R , and θ when vector F g = 805 N. (Do not assume that vector R is parallel to vector T .)
asked 2021-04-22
Nerve cells are long, thin cylinders along which electric disturbances (nerve impulses) travel. The cell membrane if a typical nerve cell consists of an inner and outer wall separated by a distance of \(\displaystyle{0.10}\mu{m}\). The electric field within the cell membrane is \(\displaystyle{7.0}\cdot{10}^{{{5}}}\) N/C. Approximating the cell membrane as a parallel plate capacitor, determine the magnitude of the charge density on the inner and outer cell walls.
