Consider the following figure. Pole Road 15 A straight inclined road makes an angle of 15° with the horizontal. A vertical pole at the side of the road casts a shadow a' feet long directly down the road. From the point where the shadow ends, the angle of elevation of the sun from the horizontal is 57°. Approximate the length of the pole, if a' = 170. (Round your answer to two decimal places.) X ft

Q: A 13-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 7…

A: A 13-foot ladder is leaning on a tree.The bottom of the ladder on the ground at a distance of 7 feet…

Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: form a triangle

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

Q: A tree is growing 42-ft feet from a home. The home owner is worried the tree could fall onto the…

A: Given:- A tree is growing 42-feet from a home. The home owner is worried the tree could fall onto…

Q: A bird has built a nest on top of a pillar. A cat is sitting 8m away from the pillar. For the cat…

A:

Q: A circle has a radius of 7 m. Find the length s of the arc intercepted by a central angle of…

A:

Q: A circle has a radius of 19 cm. Find the radian measure of the central angle 0 that intercepts an…

A: To find the measure of Central angle

Q: If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on…

A: Given: - If a central angle with its vertex at the center of the earth has a measure of 1', then the…

Q: A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the…

A:

Q: A circle has a radius of 11 ft. Find the radian measure of the central angle that intercepts an arc…

A: We can find the radian measure in the following steps.

Q: A central angle θ in a circle of radius 2 m is subtended by an arc of length 3 m. Find the measure…

A:

Q: A water tower 30 m tall is located at the top of a hill. From a distance of D = 145 m down the hill,…

A: From the given data

Q: Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Draw a schematic diagram of a give question. Given data, Height of tree, AB = 370 ft C is the point…

Q: 1. A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of…

A: our objective is to find the angle.

Q: To build a set for your upcoming movie, you place a six-meter-long ladder against the wall. If the…

A:

Q: A circle has a radius of 4in . Find the length s of the arc intercepted by a central angle of 3π/4…

A:

Q: A six-meter-long ladder leans against a building. If the ladder makes an angle of 60 degrees with…

A: Given data:   The length of the ladder is: AC=6 m. The angle made by the ladder with the ground is:…

Q: A 12 -foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 3…

A:

Q: A truss for the roof of a house is constructed from two identical right triangles. Each has a base…

A: use trignometric ratio

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: The area of a circle is 800 m2. Find the area of a sector of this circle that subtends a central…

A:

Q: 13. The posts of a hockey net are 2.0 m apart. A player attempts to score by shooting the puck along…

A: Solution is done in step 2

Q: A circle has a radius of 14 m. Find the length s of the arc intercepted by a central angle of 1.3…

A:

Q: From a point 100 feet from the base of a tree on level ground the angle of inclination to the top of…

A:

Q: If a central angle with its vertex at the center of he earth ha a measure of 1′, then the arc on the…

A:

Q: A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram…

A:

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 8х — у %3D 3, Зх +…

A: The angle between the two lines

Q: 1. A radio transmission tower is 375.4 feet high. If a guy wire is to be attached to the tower 15.2…

A: Use the given information and make a figure Tower is 375.4 feet high and wire is attached 15.2 feet…

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: A circular arc of length 4 ft subtends a central angle of 20°. Find the radius of the circle. (Round…

A: Solve for the radius

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: The top of a dam has an angle of elevation of 1.1 radians from a point on a river. Measuring the…

A: It is given that the top of dam angle of elevation of 1.1 radians and the angle of elevation to the…

Q: A toy racecar moves along a circular track with a radius 3.4 feet long and starts at the 3-o'clock…

A: We can solve as follows

Q: 1. With respect to the given angle, what is the ratio of the hypotenuse to the opposite side? A.…

A:

Q: 9) (SCT) Suppose a 40 ft tree casts a shadow of length 60 ft. What is the angle of elevation (with…

A:

Q: The goal posts of a hockey net are 2 metres apart. If a player wants to score while standing at a…

A:

Q: Consider a triangle where A = 30°, a = 1.8 cm, and b = 1.3 cm. A C (Note that the triangle shown is…

A: topic - Law of sines

Q: A smokestack is 150 ft high. A guy wire must be fastened to the stack 20.0 ft from the top. The guy…

A:

Q: Consider the angle shown below that has a radian measure of 2.8 radians. A circle with a radius of 3…

A: The given diagram is as follows: Here, the co-ordinates on the circle are x=r·cosθ, y=r·sinθ, where…

Q: The area of a circle is 300 m2. Find the area of a sector of this circle that subtends a central…

A:

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

A:

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: A circle has a radius of 11cm. Find the length s of the arc intercepted by a central angle of 2.7…

A: Given that the radius of the circle = 11 cm   central angle = 2.7 radians   Objective is to find the…

Q: A 18-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A: Solve the following to find the angle of elevation and height of the building

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Height of redwood = 380 ftAngle of elevation = 51°Let distance between me and the base of redwood =…

Q: The minute hand of a clock is 10 cm long. How far will the tip of the hand move after 15 minutes?

A: Given ,  The minute hand of a clock is 10 cm long . We have to find the distance the tip of the hand…

Q: Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle…

A: As we know that; The expression for the arc length of the circle is: l=r×θ Where, 'r' is the radius…

Q: A circle has a radius of 17 cm. Find the length s of the arc intercepted by a central angle of…

A:

Q: The proper angle for a ladder is about 75° from the ground. Suppose the ladder is 29 feet long. How…

A:

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 18 foot…

A: