Alicia and Jenita are holding a hot-air balloon using guide ropes. On one side of the balloon, Alicia is holding her 15-m rope at an angle of 30° to the ground. On the other side of the balloon, Jenita is holding her rope at an angle of 45° to the ground. a) How high is the balloon? b) How long is Jenita’s rope? c) How far apart are Alicia and Jenita?

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A:

Q: The fehce posts and rails are parallel. Find the value of x. a Ad 5x+6)° 69 O 111 O 13 71

A: Draw a schematic diagram of given figure.

Q: : In a a ABC, ZC = 3ZB = 2 (ZA + ZB ).Find the three angles.

A:

Q: Amy is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6…

A: Let the triangle be ∆ABC - In the triangle formed  by Amy,  two angles whose measure is 75° each.We…

Q: Use these values: Let the hypotenuse be 70cm, vertical 24.5cm and 65.98cm for the horizontal.  A)…

A: The trigonometric ratio formula will be used for calculating vertical and horizontal leg from the…

Q: For the following questions, refer to the right triangle shown below: 3.0 m 4.0 m a) Determine the…

A: a) Given triangle is right  angle triangle. we know that in right angle triangle, square of…

Q: 28. Nathan is on the observation deck of the Space Needle in Seattle, Washington. He is looking down…

A: Nathan is on the observing deck of the space needle in Seattle, Washington. He is looking down at an…

Q: In angle KNP, the exterior angle at P has a measure of 114 and the exterior angle at K has a measure…

A: Here, you have written angle KNP, it should be Triangle ∆ KNP.    Using properties of triangle we…

Q: Calculate the height corresponding to side AC in the following figure, if it is known that BC = 30,…

A:

Q: Consider triangle DEF with EF=15 and angle F measuring 29.1 degrees.

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Q: An aeroplane flies against the wind from town Alpha to town Beta in 8 hours. The same aeroplane…

A: We can use the concept of relative speed which states that  if both object moves in the same…

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A:

Q: The shadow cast by a 5 foot tall student is 9 feet long. At the same time the shadow cast by a…

A: The shadow cast by a 5 foot tall student is 9 feet long. At the same time the shadow cast by a…

Q: Sly Cooper is making another daring escape after a heist! He is on top of a 112 meter building that…

A: a)

Q: 20. Ruthann is buying a home, and the plot of land is triangular. She would like to have a long…

A: in any triangle line opposite to the largest interior angle is the longest line

Q: Find the missing side length and angles of △ABC given that m∠C=118∘, a=7, and b=10

A: m∠C=118∘a=7b=10Find the missing side length and angles of triangle △ABC

Q: Kate would like to find the height of her favorite rollercoaster at the amusement park. She noticed…

A: When the shadow is formed at the same time of two objects then they are proportional.

Q: c: 12cm-> A. b:18cm a=10cm angle Find ar bup B.

A:

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

A: How much roof overhang should the architect provide so that at noon on the day of the summer…

Q: 3. Solve the following triangle ABT: т 10 cm B 36 cm

A: Right triangle ATB

Q: Sarah is building a cottage.The cottage is 30 meters wide. Sarah purchased 20 meters of long beams…

A:

Q: 1 Diego needs to install a support beam to hold up his new birdhouse, as modeled below. The base of…

A:

Q: John is surveying a lake where he observed three points (point A, point B, and point C). He found…

A: Given, AB= 250 ft A= 40° B= 112° We know that total angle in a triangle is 180° Therefore, A+B+C=…

Q: 4. Gill wants to reach a movie commercial from a building, 60 feet above the street. If Gill has a…

A: We can solve the given problem by using the trigonometric ratios

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.