3For the triangle alongside:a Use right angled trigonometry to find the altitude andbase length of the triangle.6 Find the area of the triangle using geometry.c Use your calculator to evaluate 2 × 2 × sin 50°. Whatdo you notice?50°2 m2 m

Answered: Image /qna-images/answer/7488e2a8-85bb-4ec0-b2be-1a789980a933.jpg

For the triangle alongside: a Use right angled trigonometry to find the altitude and base length of the triangle. b Find the area of the triangle using geometry. c Use your calculator to evaluate 2× 2 × sin 50°. What do you notice? 50° 2 m ( 2 m

For the triangle alongside: a Use right angled trigonometry to find the altitude and base length of the triangle. b Find the area of the triangle using geometry. c Use your calculator to evaluate 2× 2 × sin 50°. What do you notice? 50° 2 m ( 2 m

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 36E

See similar textbooks

Related questions

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

Q: E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How…

Q: For which triangle does the Pythagorean Theorem express the relationship between th lengths of its…

Q: What is the value of cot θ if the terminal side of angle θ intersects the unit circle in the first…

Q: Find the value of x to determine the missing angle measure and then classify the triangle by its…

A: Given

Q: Consider the triangle shown below where m/B=78°, a = 35.3 cm, and c= 32.5 cm. %3| %3D C. X cm 35.3…

A: Given,

Q: A ski run on Giant Steps Mountain in Utah is 1475 m long. The difference in altitude from the…

A: From the diagram drawn:

Q: A communication tower is located at the top of a steephill, as shown. The angle of inclination of…

Q: In the figure to the right, if AC = 19 and BC = 16, what is the radius? A B D The radius is…

Q: Maria is swimming in the ocean and notices a coral reef below her. The angle of depression is 35°…

Q: For the oblique triangle ABC: a) determine the unknown side length b) find the area of the…

A: Given figure: Given : ∠C = 31°, a = 8 m, b= 6 m The objective is to determine the unknown side.

Q: Right triangle ABC, with right angle C, given b = 1, and c = 13, find A. (round to the nearest…

Q: n. В D A

Q: An object dropped from the top of the Leaning Tower of Pisa lands 17 feet from the base. 17 ft Note:…

Q: Consider this right triangle. A 15 640 B In the box below, enter the length of AC , to the nearest…

A: Given ∠B=64° Right angle triangled ABC H=15

Q: Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC= 60 and DC = 35, what is the…

Q: Jacob is looking up to the top of the Washington Monument. If the monument is 55 feet tall and the…

Q: -) The angle of elevation to the sun is 30°. What is the length of the shadow cast by a person 1.8…

A: The explanation of the solution as follows:

Q: 2) Lucy is lying on the beach, flying a kite. She holds the end of the kite string at ground level…

A: The length of the string is AC=400 ft. An angle of elevation is m∠A=48∘ The objective is to find…

Q: Aarnie has plans to build a treehouse in a large oak tree in his backyard. He takes measurements…

Q: For triangle ABC, the Law of Sines is asin A = ________ = csin C

A: we have been given a blank statement we have to fill it. Statement : For triangle ABC, the Law of…

Q: Answer the following questions and show your work a) from the top of a building 60 m high, the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: [6A.5] Given a triangle ABC, where ∠C is obtuse, construct triangle PAB having the same area and…

Q: Lori wants to derive the area formula, A=1/2ab sinC, for triangle ABC In order to derive the…

Q: An aerial photograph is taken of a building. The photograph is made when the angle of elevation of…

Q: at is the horizontal distance from the base of t

A: Given: From the observation deck of a skyscraper, Isabella measures a 67o angle of depression to a…

Q: A 8 32° B 17

Q: 2. In the morning, you find that a building casts a 300 foot shadow to the west. The angle of…

Q: The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m…

Q: 3. Sketch on the axes below [1K] and then state: a) the related acute angle b) the angle in degrees

Q: 30 ft 3. A flagpole stands in the middle of of a flat level field that is 50 feet away from its…

Q: Previous Anowen: 6.4 24 ft Barbara is standing on the ground looking up at the top of a building.…

Q: Diana is designing a triangular race course for a sailing regatta. The course is triangular and has…

A: Given query is to find the size of the third side.

Q: Michael stands 7 feet from a table, and notices a plate resting on the edge of the table. The top of…

Q: Use the Pythagorean Theorem to find the missing side of the right triangle below. Round your answer…

A: I have provided solution in step2

Q: 3. From the top of a cliff 52m high, the angles of depression of the 2 ships due east are 36° and…

A: Given Top of cliff=52 Angle of depression=24 and 36

Q: A crane operator must consider the angle of the boom because of its capacity to tip the crane to the…

Q: Construct a triangle whose sides are congruent to the given sides. Do your construction - as you do…

A: Use compass.

Q: A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of…

Q: The following oblique triangle can be solved by using the Law of Cosines (SSS). B 8 ft -4 O True 7…

Q: Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements…

Q: In a right triangle, sun(B) =0.292. If the hypotenuse of the triangle has a length of the 17.5 cm,…

Q: Consider the triangle shown below where mZB = 80°, a = 35.8 cm, and c= 32 cm. C x ст, 35.8 cm 80° A…

A: Law of Cosines : b=a2+c2-2ac cos B

Q: Consider the triangle shown below where m2C = 53°, b = 10 cm, and a = 24 cm. 53 24 cm 10 cm A х ст…

A: Given: a = 24cm, b = 10cm, measure of angle C is 53 degrees. To find: The value of x, by using…

Q: A hot air balloon is floating above a straight road. To estimate their height above the ground, the…

A: Here we will find height of balloon from the ground,

Q: Work out angle x. Give your answers to the nearest whole number. 9 cm 6 ст 11 cm 5 cm 4 cm 6 cm [2]…

Q: What is the angle of depression from the plane to the building?(Round to the nearest degree as…

Q: The top of a lighthouse, T, is 215 feet above sea level, L, as shown in the diagram below. The angle…

Q: 5. In the following triangle, A = 75°, b= 103, and a = 129. Use the Law of Sines to find the measure…

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
For the triangle alongside:
a Use right angled trigonometry to find the altitude and
base length of the triangle.
6 Find the area of the triangle using geometry.
c Use your calculator to evaluate 2 × 2 × sin 50°. What
do you notice?
50°
2 m
2 m

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 3

VIEW

Step by step

Solved in 3 steps with 3 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, algebra and related others by exploring similar questions and additional content below.

Similar questions

For the 45-45-90 triangle shown, suppose that AB=a2. Find: a AC b BC
On a baseball diamond a square, the bases are 90ft apart. Use the Law of Sines to find the distance from home plate to second base. Exercises 3839
For triangle ABC, the Law of Sines is asinA==csinC.
For the 30-60-90 triangle shown, suppose that XZ=a. Find: a YZ b XY
For the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZ
Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a phone cable from City A to City B, which lies on the opposite bank 5 miles down the river. You will lay L miles of the cable along the north shore of the river, and from the end of that stretch of cable you will lay W miles of cable running under water directly toward City B. See Figure 2.108. Figure 2.108 You will need the following fact about right triangles: A right triangle has two legs, which meet at the right angle, and the hypotenuse, which is the longest side. An ancient and beautiful formula, the Pythagorean theorem, relates the lengths of the three sides: Lengthofhypotenuse=Lengthofoneleg2+Lengthofotherleg2 a. Find an appropriate right triangle that shows that W=1+(5L)2 b. Find a formula for the length of the total phone cable P from City A to City B as a function of L. c. Make a graph of the total phone cable length P as a function of L, and explain what the graph is showing. d. What value of L gives the least length for the total phone cable? Draw a picture showing the least-length total phone cable.
Find sec if cos=1/3. a. 22 b. 223 c. 3 d. 324