In the figure, a bird (at point B) is 24 feet above the ground. Meg is 74 feet from the bird while Mara is 25 feet from the bird. How far apart are Meg and Mara?

Q: A man is walking away from a lamppost with a light source b = 10 meters above the ground. The man is…

A:

Q: In the late afternoon, a 3.5-ft child casts a 60-in shadow. The child is next to a telephone pole…

A:

Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

A:

Q: The diagonals of a parallelogram are 14 meters and 16 meters and intersect at an angle of 60°. Find…

A: Given the diagonals of a parallelogram are 14 m and 16 m. Diagonals intersect at an angle of 60°.

Q: In the figure, a bird (at point B) is 24 feet above the ground. Meg is 74 feet from the bird while…

A: Consider the provided question, According to the given question the diagram is drawn as,

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

Q: A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other…

A:

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A: topic - application of trigonometry

Q: The four sequential sides of a quadrilateral have lengths a=5.2, b=6.7, c=8.3, and d=11.7 (all…

A:

Q: From a helicopter flying at 30,000 feet, the angles of depression of two cities are 28 and 55. How…

A:

Q: A 35-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A:

Q: An architect is designing a slanted ramp that connects to a loading dock. The vertical distance…

A:

Q: Which formula would you use to find the coordinates of a midpoint of a side of a triangle?

A: We have to find the formula for the coordinates of a midpoint of a side of a triangle?

Q: The diagonals of a quadrilateral are 58cm and 42cm and they intersect at an angle of 78 degrees.…

A: Given: The diagonal is given as, 58 cm and 42 cm The angle is 78 degree

Q: The figure shows a 450 foot tower on the side of a hill that forms a 8" angle with the horizontal.…

A: In this question ,we use the law of cosines . According to the law of cosines , a2 =b2 + c2 -…

Q: The cross section of an attic is in the shape of an isosceles trapezoid, as shown in the…

A: Now from the above figure as it is isosceles trapezoid the length of AB and CD are equalNow…

Q: Solve the triangle b = 5, c = 3, A = 102°. Round lengths of sides to the nearest tenth and angle…

A: Explanation: Given that,  b=5 c=3 A=102° According to the cosine rule:…

Q: Suppose an airplane is flying 18,000 feet above the ground. Another airplane is directly above at…

A: to find:- distance between two planes.

Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: for

A: Here we can use sine rule for solve the question  a/SinA = b/SinB = c/SinC  Side/Sin(opposite angle…

Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

A:

Q: Find the approximate change in the length of the hypotenuse of a right triangle when its legs change…

A: Approximate change in the length can be found by the differentiation of hypotenuse  apply…

Q: 26. WALKING Marshall lives 2300 yards from school and 1500 yards from the pharmacy. The school,…

A: Given: Lets take the School as A, Pharmacy as B and Home as C Distance between School and Home is,…

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: 4. On a 360 yard hole, a golfer's drive of 240 yards is 25 degrees off line. If the golfer's second…

A: Proceed as shown ...

Q: Consider the figure below. Sink 7 ft Stovetop 2 ft Refrigerator Darius is remodeling his kitchen.…

A: For the solution follow the next step.

Q: A 29-m talk building casts a shadow . The distance from the top of the building to the top of the…

A:

Q: Ms. Esquivel is in her 3rd floor classroom looking out over a tree that is 35 meters away. Ms. E's…

A: Consider the figure below illustrating the given conditions. Let the height of the tree be x meters…

Q: Consider the right triangle below B. 25 12 C. To the nearest degree, what is the value of 27

A:

Q: A whispering gallery has a semielliptical ceiling that is 9 m high and 30 m long. How high is the…

A: Given       A whispering gallery has a semielliptical ceiling that is 9 m high and 30 m long.

Q: In the​ figure, two poles are 25 m and 35 m high. A cable 18 m long joins the tops of the poles.…

A: Given: Height of 1st pole=25 mHeight of 2nd pole=35 mLength of cable=18 mDistance between poles=d…

Q: A 15-m vertical pole cast a 6-m shadow when a tower casts a shadow of 100m.What is the height of the…

A: This question is taken from the triangles in which we have to find the height of the tower. We can…

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

Q: Suppose a daredevil attempted to jump a canyon, using a special rocket built for the stunt. Suppose…

A: Given data: The given vertical height is h=200 ft. The given length of the ramp is d=325 ft. (a) The…

Q: The picture below shows a box sliding down a ramp: 12 ft What is the distance, in feet, that the box…

A: The distance from the point A  to point C is:

Q: Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths represent the legs…

A:

Q: A 34-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A: In this question to find out the length of shadow we use pythagorus theorem.

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A:

Q: 2.] From a point on a ship's deck 30 feet from the base of the mast, the angle of elevation of the…

A: Given the data :

Q: The diagonals of a rectangle are 8 units long and intersect at a 60° angle.Find the dimensions of…

A: Here given as The diagonals of a rectangle are 8 units long and intersect at a 60° angle. Let the…

Q: Solve the right triangle with a hypotenuse of 10 and an angle on 40 degrees

A: here we have the length of hypotenuse: AB=10 the length of the shorter leg: BC=x the length of the…

Q: A = 50°,c = 560 ft, a = 450 ft Solve the following if the triangle exists: given

A:

Q: how do you find the distance  of a triangle with legs of 15 and 7?

A:

Q: The figure is a regular octagon with each side extended. What is the value of x?

A:

Q: Write the Pythagorean theorem for a right triangle with the lengths of the legs given by a and b and…

A: Statement: Let a right angled triangle ABC, where B is right angled and we have to prove:

Q: Solve for the remaining parts of ABCA. Illustrate and label the right triangle. 3.] Given c = 40.57…

A: Given, ∆ABC in which  c = 40.57 cm ∠B = 54°35' ∠C = 90° We have to solve the right-angle triangle.

Q: A lamp produced a shadow of a man standing in the middle of a stage. 21 19° 25 meters How long is…

A:

Q: The diagram shows the side of a small shed with vertical walls of equal height and a roof that is…

A: A small shed is formed with two equal vertical walls and its roof is formed by two slanted sections.…

Q: In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the…

A: Use the polar equation of circle .

Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.