24. A bullet is found embedded in the wall of a room 2.3 m above the floor. The bullet entered the wall going upward at an angle of 13°. How many metres from the wall was the bullet fired if the gun was held 1.2 m above the floor?

Q: 4. If a golfer uses a 64° wedge, he will send the ball into the air at an angle of 64°. He is…

A: As per given question  Will he be able to hit the ball over the tree?

Q: A projectile is fired with muzzle speed 150 m/s and angle of elevation 45ofrom a position 10 m above…

A:

Q: What is the measure of the angle (with the ground) formed by a 11 ft ladder leaned against the top…

A: We know for a right angled triangle, sinθ=heighthypotenuse

Q: 2. On the wall of Mr. Piamonte's house, a 6-meter picture was hung so that its location is 5 meters…

A: Let's find.

Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

A: Since, the student has posted multiple questions (more than one question) and is asking to slove…

Q: A mason wants to be sure she has a right corner in a building’s foundation. She marks a point 3 ft…

A: Given,           A mason wants to be sure she has a right corner in a building’s foundation. She…

Q: 2. According to a safety code, the angle a ladder makes with the ground should be between 70° and…

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: 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 support wire 20 meters long runs from the top of a utility pole to a point on the ground 17 meters…

A: Given information, we can plot a diagram,

Q: A cannon is fired at an angle of 34° with the horizontal. If the cannonball has an initial velocity…

A: From the given information, The angle of projectile from the launch is given as 34°. The initial…

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

A:

Q: 8. Compute the length of the arc that subtends angle B If Its measure Is 110°.

A:

Q: 8 be an acute angle in

A:

Q: 4. Find the length of arc intercepted on the center of a circle of radius 20 cm by central angle…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 16. Two guy wires from the top of a 55-ft tent pole are anchored to the ground below by two stakes…

A:

Q: 4. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

A:

Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are…

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360

Q: A gun is fired with angle of elevation 30o. What is the muzzle speed if the maximum height of the…

A:

Q: The index of refraction of light in passing from a vacuuminto dense flint glass is 1.66. If the…

A: The index of refraction of light in passing from a vacuum into dense flint glass is 1.66 and  the…

Q: 1. From a corridor of VNHS …ain building 50 m above the ground level, the angle of depression of I…

A: Height and distance

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: 2. The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing…

A: According to the given information the figure is,   AB = 8 feet AD = 4 feet CD = x

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: Finu ecuntion トo 1ne to at Point l,o) yruphi メ5ー 5 ハト ) and

A:

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

A:

Q: A kite is flying at an angle of elevation of about 40°. All 80 m of stringhave been let out.…

A:

Q: 5. A circular plot with a 180 foot diameter is watered by a spray irrigation system. To the nearest…

A: The area of a circle is given by , where d is the radius of the circle. Substitute 180 for d to find…

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: 2. A 30 ft ladder leans against a building at an angle of 45 °. Compute the distance from the foot…

A:

Q: Adjacent angles are supplementary always sometimes never OOO

A:

Q: 10. Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent…

A: The solution for the above question is as shown below.

Q: 5 If the shadow of a pole 7 m high is hat its length, what is the angle of elevai the sun, correct…

A: 5) To find the angle of elevation of sun

Q: A cannon is fired at an angle of 39° with the horizontal. If the cannonball has an initial velocity…

A: The angle of projectile from the launch is given as 39° The initial velocity is given as 605 ft/s…

Q: 3.At what time after 7 o’clock will the second hand bisect the hour and the minute hand for the…

A: Aim: To find the time , after 7 o'clock after which the second hand will bisect the hour hand and…

Q: If a train climbs at a constant angle of 1.25°, how many vertical meters has it climbed after going…

A: Now draw the figure according to given information

Q: A ball gets launched at 50 metres / second at a 45 degree angle on Mars. Not accounting for air…

A:

Q: What is the length of the shadow cast on the vertical screen by your 10.0 cmcm hand if it is held at…

A: Given :  hypotenuse side = 10 cm  Angle = 30°

Q: what is the smallest angle between the hour and minute hands when the clock reads 3:15?

A:

Q: 2. The angle of depression from the tip of an airplane as it descends towards the landing strip is…

A: 2.

Q: 8. In a circle of radius 5, what is the length of the arc that subtends a central angle of 110…

A:

Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

A:

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

A:

Q: A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one…

A: Given that a peach pie is made with 13 peaches which are evenly distributed through out the pie. If…

Q: 2. If (4,3) is the point on the terminal arm of angle 0 in standard position. a) calculate the value…

A: Given that 4,3 is the point on the terminal arm of angle θ in standard position.  To find the value…

Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula

Q: 16. The minute hand of a clock has length 15 cm. How long will it sweep out an angle of 105°? How…

A: The minutes hand of a clock has length 15 cm The given angle is 105 degree We know that in a clock…

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: 5.] If Gaara is 167.64 cm tall cast a shadow of 160.02 cm at 10 a.m., what is the angle of elevation…

A:

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.