A bridge across a river makes an angle of 450 with the river bank as shown in fig 12.8 if the length of the bridge across the river is 150 m. What is the width of the river?

Q: The radius of circle B is 10 mm and the central angle of ABC is 75°. what is the area of the…

A: Given: Given: r = 10 mm θ = 75o

Q: Two planks of lengths 1 m and 1-2 m, lean against each other as shown in Fig. 9.21. 36° 1-2m 1m Fig.…

A: Given Data: The length of plank AB is: AB=1 m The length of plank AC is: AC=1.2  m The figure below…

Q: Find the sum of the measures of the interior angles of the given figure.

A: We draw these lines in the given polygon.

Q: Given the triangle below, find the angle A and length of side x

A:

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: If the angle of elevation of a cloud from a point P, h meters above a lake is a and the angle of…

A: As per the let us assume that P is the point which is at H meters distance from the lake, The cloud…

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: The measure of each interior angle of a regular pentagon is _____?

A: We have to find the measure of each interior angle for regular pentagon. We know that in regular…

Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

Q: 1. The angle of the top of a building to the top of a nearby taller building is 46° 40' while the…

A:

Q: Question 3 Find the measures of two supplementary angles with measures ( 5x – 60 )° and ( 3x )°.

A: Given,           The two angles are 5x-60° and 3x°.We know that,          The sum of two…

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: The points A, B, and C lie on circle Q below, in which BC is a diameter. In circle Q, what is the…

A:

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

A:

Q: C D 2 /1 В A

A: We will find the measurement of arc AC as following. Angle 2 measures to be 116 degrees.

Q: What is the reference angle of a. b. С. d. にIN

A: The value of the reference angle always lies between 0 and π2. Let consider θ be the given angle. If…

Q: For an angle e, tan(0) is a negative number. Which quadrants might 0 be in?

A: Given, Tan θ is negative for some θ

Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

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Q: Given the following triangle, what is sec(@)? 15 12

A:

Q: A kite is held fast by a taut line 220 ft long. If the line makes an angle of 21°40' with the…

A:

Q: The angle between 0 and 360° and is coterminal with a standard position angle measuring 1813 angle…

A:

Q: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: Given that the terminal side of angle 0 goes through the point (12, 5), find csc(0).

A:

Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: Determine the length of side length a to the nearest tenth of a kilometer, given that angle B is 62°…

A:

Q: A 10-foot rope connects the top of a tent pole to the ground. Ifthe rope makes an angle of 458 with…

A: Given:  Rope that connects the top of tent pole and ground= 10 foot…

Q: Given a triangle GHF, what angle is included between sides HF and FG?

A: Naming of angles of any triangles are done according the sides constructing  the angle  IF sides a…

Q: An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following…

A:

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

Q: Given a right triangle ABC where angle C = 90° and tan B = 유. How long is side c?

A: Given right angled ABC angled at C as shown in figure below And tan (B)=3.6/4.8 Now we have to find…

Q: Given a triangle GHF, what side is included between angle H and angle F?

A: Firstly we will draw the diagram by using the given data as shown below

Q: 14) 27 11 ?

A:

Q: An isosceles triangle has two congruent sides of length 14 inches. The remaining side has a length…

A:

Q: A triangular tarpaulin is to be used in making an advertisement. If two sides of the triangle are…

A:

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: Given the angle 125°, a positive coterminal angle is v and a negative coterminal angle is

A: Given angle is θ=1250 The formula for positive coterminal angle is θ+3600 and the negative…

Q: In a kite, if the angle of elevation is 67 degrees and 100 feet if kite string has been let out, how…

A:

Q: Each angle of an equiangular triangle has measure ____?

A: To write: The measure of each angle in a equiangular triangle.

Q: If angle A and B are vertical and angle B is a 60 degree angle, what is the degree of angle A

A:

Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

A:

Q: This problem refers to triangle ABC. If a = 35 cm, b = 12 cm, and c = 27 cm, find the largest angle…

A: We know that the law of cosine :  a2 = b2 + c2 - 2 b • c cos ( A )  Here Angle A is the opposite…

Q: What is the approximate degree measure of an angle of 4.59 rad?

A: Given problem is : What is the approximate degree measure of an angle of 4.59 rad?

Q: The angle between 0° and 360° and is coterminal with a standard position angle measuring 756° angle…

A:

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

A:

Q: If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 23 feet long,…

A: We need to find the angle ramp makes with the ground.

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A:

Q: what is the angle of elevation of the ladder? how high does the ladder reach on the building?

A:

Q: 2.

A: We can easily calculate the unknown angle by using basic trigonometric fuctions. Let unknown angle…