3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery vehicle in the valley below is 33°. What is the height of the balloon above the valley floor if the distance from the recovery vehicle to a point on the ground directly below the balloon is 299 ft? Round to the nearest whole number. 299 ft

3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery vehicle in the valley below is 33°. What is the height of the balloon above the valley floor if the distance from the recovery vehicle to a point on the ground directly below the balloon is 299 ft? Round to the nearest whole number. 299 ft

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: A. Directions: Match angles in Column A with the angles in Column B to form a pair of COMPLEMENTARY…

Q: 2. To estimate the length CB of the lake shown in the figure below, a surveyor measures AB and AC to…

A: Here a triangle ABC has been given. Here, AB = 95 m AC = 90 m ∠CAB=70° It is to find the length of…

Q: A ship set sail from port at a bearing of N 20° W and sailed 35 miles to point �. The ship then…

A: Given: A to B=35 miles =c B to C=40 miles=a B point angle=20 degrees C point angle=51 degrees…

Q: .What is the length of the hypotenuse? 30° 90 feet

A: Answer and explanation is given below...

Q: Given the right triangle in the diagram below, what is the value of x, to the nearest foot? 40° 14…

A: Here we use trigonometric ratios to find out the value of x. Please be careful here the given angle…

Q: 58. A runner leaves the starting point of a race and heads N10°W at 6.3 mph. After running for 20…

A: The speed of the runner at N10°W is 6.3 mph. The runner speed for 3 more miles is 6.8 mph. The…

Q: An airplane descends at an angle of depression of 22" for a ground distance of 7850 feet. What…

Q: 2. A monument is planned in the Commercial Zones. The monument's shadow is 25 meters long. If a…

A: Solution 2. To determine the height of the monument, we can use trigonometry. Let's consider the…

Q: Two airplanes leave an airport at the same time. One airplane travels at 355 km/h in a direction…

Q: Rabbit A and rabbit B are sitting 36 feet apart. Between them is their home (rabbit hole C) beneath…

A: Given, ∆ABD with ∠A = 52° ; ∠B = 48° and AB = 36 feet We have to find the height of the tree…

Q: A rocket ship is four miles above sea level when it begins to climb at a constant angle of 5° for…

A: Given, θ=5∘, B=65 suppose rocket ship height from initial point is h height from sea level =h+4

Q: 9. HEIGHT OF A TREE To determine the height of a tree, Terry paced 15 feet back from the base. She…

Q: 4. On a rescue flight, a U.S. Coast Guard helicopter approaches a container ship at an altitude of…

Concept explainers

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.

Question

3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the
recovery vehicle in the valley below is 33°. What is the height of the balloon above the
valley floor if the distance from the recovery vehicle to a point on the ground directly
below the balloon is 299 ft? Round to the nearest whole number.
e (
299 ft
a
hp
s米
f6
10
fe
f9
f1o
トト」
2$
4.
&
*
3.
6.
7.
R
T.
Y
P
H.
J
KL
00

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

. An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of the UFO was on the ground 17 feet away. Draw a diagram of this situation. What is the distance from the ant on the ground to the UFO in the sky?
CALCULATOR 1. A camera is mounted at a point 5,000 ft from the base of a rocket launching pad. Assuming the rocket rises vertically, what is the height of the rocket from its base when the camera angle is 27°? Round your amswer to the nearest foot.
48. Which is the angle of depression in this figure? E D 49. let b= the height of the building, and f the height of the flagpole. Using 30° as an angle of elevation of the top of the building, and 32° for the flagpole, what will be the height of the flagpole? 300 ft 50. How far (x) is the boat from the bottom of the lighthouse? level 70 ft 51. A flagpole cast a shadow of 15 meters on the ground. If the angle of elevation of the sun is 30°, what will be the height (x) is the flagpole at the right? X 30⁰ -15 m-
A surveyor wanted to determine the height of a mountain. To do this, she determined that the angle of elevation from point A to the top of the mountain is 33°. She then drove 1500 meters toward the mountain to point B where she determined that the angle of elevation to the top of the mountain was 42°. How tall is the mountain? The height of the mountain is approximately ? m. Do not round until the final answer. Then round to the nearest whole number as needed.
258 ft 13. A person flying a kite originally lets out 232 feet of line. At this point the person observes an angle to the kite of 48°. The person then lets out an additional line for a total of 258 feet. At this point the person observes an angle of 53°. If the kite rise vertically between the two points in the time as shown, determine, to the nearest foot, how much higher the kite is as point C than at point B. B. 232 ft 53° 48° A
How far does the tip of a 1.39 m pendulum travel as it swings through an angle of 6.3°? The distance through which the end of the pendulum swings is m. (Simplify your answer. Round to three decimal places as needed.)
1. A business owner wants to put a security light on the outside of his building. He wants the light to cover the whole width of the sidewalk next to his building. If the sidewalk is 6 feet wide and the light shines down at a 35° angle, how high should he mount the light on the wall? Round to one decimal. Height 35° Sidewalk 6 feet