ACT Math : How to find an angle with tangent

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #4 : Tangent

Soh_cah_toa

For the above triangle,  and . Find .

Possible Answers:

This triangle cannot exist.

Correct answer:

Explanation:

With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.

Example Question #2 : Trigonometry

Soh_cah_toa

In the above triangle,  and . Find .

Possible Answers:

Correct answer:

Explanation:

With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.

 

Example Question #3 : Trigonometry

Soh_cah_toa

For the above triangle,  and . Find .

Possible Answers:

This triangle cannot exist.

Correct answer:

Explanation:

With right triangles, we can use SOH CAH TOA to solve for unknown side lengths and angles. For this problem, we are given the opposite and adjacent sides of the triangle with relation to the angle. With this information, we can use the tangent function to find the angle.

Example Question #2921 : Act Math

A laser is placed at a distance of  from the base of a building that is  tall. What is the angle of the laser (presuming that it is at ground level) in order that it point at the top of the building?

Possible Answers:

Correct answer:

Explanation:

You can draw your scenario using the following right triangle:

Theta5

Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:

 or .

Example Question #2922 : Act Math



Theta4

What is the value of  in the right triangle above? Round to the nearest hundredth of a degree.

Possible Answers:

Correct answer:

Explanation:

Recall that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side of the triangle. You can solve for the angle by using an inverse tangent function:

 or .

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: